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Finding the Fourth Proportional to 2,154.58, 3,229.71 and 1,057.30

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Solution

The fourth proportional to 2,154.58, 3,229.71 and 1,057.30 is: 1,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.58 : 3,229.71 = 1,057.30 : x
  2. Step 2: Convert to fraction form
    2,154.58/3,229.71 = 1,057.30/x
  3. Step 3: Cross multiply
    2,154.58x = 3,229.71 × 1,057.30
  4. Step 4: Simplify right side
    2,154.58x = 3,414,772.38
  5. Step 5: Solve for x
    x = 3,414,772.38/2,154.58
  6. Step 6: Final answer
    x = 1,584.89

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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.