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Finding the Fourth Proportional to 1,534.76, 2,118 and 836.16

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Solution

The fourth proportional to 1,534.76, 2,118 and 836.16 is: 1,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.76 : 2,118 = 836.16 : x
  2. Step 2: Convert to fraction form
    1,534.76/2,118 = 836.16/x
  3. Step 3: Cross multiply
    1,534.76x = 2,118 × 836.16
  4. Step 4: Simplify right side
    1,534.76x = 1,770,986.88
  5. Step 5: Solve for x
    x = 1,770,986.88/1,534.76
  6. Step 6: Final answer
    x = 1,153.92

Related Problems

Find fourth proportional to 767.38, 1,059 and 418.08
Half scale
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Double scale
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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.