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Finding the Fourth Proportional to 1,417.56, 2,127.64 and 724.71

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Solution

The fourth proportional to 1,417.56, 2,127.64 and 724.71 is: 1,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.56 : 2,127.64 = 724.71 : x
  2. Step 2: Convert to fraction form
    1,417.56/2,127.64 = 724.71/x
  3. Step 3: Cross multiply
    1,417.56x = 2,127.64 × 724.71
  4. Step 4: Simplify right side
    1,417.56x = 1,541,918.36
  5. Step 5: Solve for x
    x = 1,541,918.36/1,417.56
  6. Step 6: Final answer
    x = 1,087.73

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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.