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Finding the Fourth Proportional to 2,869.32, 4,304.14 and 921.38

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Solution

The fourth proportional to 2,869.32, 4,304.14 and 921.38 is: 1,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.32 : 4,304.14 = 921.38 : x
  2. Step 2: Convert to fraction form
    2,869.32/4,304.14 = 921.38/x
  3. Step 3: Cross multiply
    2,869.32x = 4,304.14 × 921.38
  4. Step 4: Simplify right side
    2,869.32x = 3,965,724.69
  5. Step 5: Solve for x
    x = 3,965,724.69/2,869.32
  6. Step 6: Final answer
    x = 1,382.11

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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.