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Finding the Fourth Proportional to 1,957.34, 2,935.86 and 724.17

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Solution

The fourth proportional to 1,957.34, 2,935.86 and 724.17 is: 1,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.34 : 2,935.86 = 724.17 : x
  2. Step 2: Convert to fraction form
    1,957.34/2,935.86 = 724.17/x
  3. Step 3: Cross multiply
    1,957.34x = 2,935.86 × 724.17
  4. Step 4: Simplify right side
    1,957.34x = 2,126,061.74
  5. Step 5: Solve for x
    x = 2,126,061.74/1,957.34
  6. Step 6: Final answer
    x = 1,086.20

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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.