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Finding the Fourth Proportional to 1,402.28, 1,935.24 and 781.28

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Solution

The fourth proportional to 1,402.28, 1,935.24 and 781.28 is: 1,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.28 : 1,935.24 = 781.28 : x
  2. Step 2: Convert to fraction form
    1,402.28/1,935.24 = 781.28/x
  3. Step 3: Cross multiply
    1,402.28x = 1,935.24 × 781.28
  4. Step 4: Simplify right side
    1,402.28x = 1,511,964.31
  5. Step 5: Solve for x
    x = 1,511,964.31/1,402.28
  6. Step 6: Final answer
    x = 1,078.22

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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.