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Finding the Fourth Proportional to 2,382.52, 3,574.92 and 921.28

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Solution

The fourth proportional to 2,382.52, 3,574.92 and 921.28 is: 1,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.52 : 3,574.92 = 921.28 : x
  2. Step 2: Convert to fraction form
    2,382.52/3,574.92 = 921.28/x
  3. Step 3: Cross multiply
    2,382.52x = 3,574.92 × 921.28
  4. Step 4: Simplify right side
    2,382.52x = 3,293,502.30
  5. Step 5: Solve for x
    x = 3,293,502.30/2,382.52
  6. Step 6: Final answer
    x = 1,382.36

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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.