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Finding the Fourth Proportional to 1,724.73, 2,377.65 and 1,061.16

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Solution

The fourth proportional to 1,724.73, 2,377.65 and 1,061.16 is: 1,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.73 : 2,377.65 = 1,061.16 : x
  2. Step 2: Convert to fraction form
    1,724.73/2,377.65 = 1,061.16/x
  3. Step 3: Cross multiply
    1,724.73x = 2,377.65 × 1,061.16
  4. Step 4: Simplify right side
    1,724.73x = 2,523,067.07
  5. Step 5: Solve for x
    x = 2,523,067.07/1,724.73
  6. Step 6: Final answer
    x = 1,462.88

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