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Finding the Fourth Proportional to 1,550.76, 2,140.06 and 852.14

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Solution

The fourth proportional to 1,550.76, 2,140.06 and 852.14 is: 1,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.76 : 2,140.06 = 852.14 : x
  2. Step 2: Convert to fraction form
    1,550.76/2,140.06 = 852.14/x
  3. Step 3: Cross multiply
    1,550.76x = 2,140.06 × 852.14
  4. Step 4: Simplify right side
    1,550.76x = 1,823,630.73
  5. Step 5: Solve for x
    x = 1,823,630.73/1,550.76
  6. Step 6: Final answer
    x = 1,175.96

Related Problems

Find fourth proportional to 775.38, 1,070.03 and 426.07
Half scale
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Double scale
Find fourth proportional to 1,551.76, 2,141.44 and 853.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.