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Finding the Fourth Proportional to 1,583.85, 2,185.66 and 875.76

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Solution

The fourth proportional to 1,583.85, 2,185.66 and 875.76 is: 1,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.85 : 2,185.66 = 875.76 : x
  2. Step 2: Convert to fraction form
    1,583.85/2,185.66 = 875.76/x
  3. Step 3: Cross multiply
    1,583.85x = 2,185.66 × 875.76
  4. Step 4: Simplify right side
    1,583.85x = 1,914,113.60
  5. Step 5: Solve for x
    x = 1,914,113.60/1,583.85
  6. Step 6: Final answer
    x = 1,208.52

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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.