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Finding the Fourth Proportional to 1,701.14, 2,549.54 and 932.18

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Solution

The fourth proportional to 1,701.14, 2,549.54 and 932.18 is: 1,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.14 : 2,549.54 = 932.18 : x
  2. Step 2: Convert to fraction form
    1,701.14/2,549.54 = 932.18/x
  3. Step 3: Cross multiply
    1,701.14x = 2,549.54 × 932.18
  4. Step 4: Simplify right side
    1,701.14x = 2,376,619.78
  5. Step 5: Solve for x
    x = 2,376,619.78/1,701.14
  6. Step 6: Final answer
    x = 1,397.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.