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Finding the Fourth Proportional to 2,892.70, 4,338.15 and 1,043.57

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Solution

The fourth proportional to 2,892.70, 4,338.15 and 1,043.57 is: 1,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.70 : 4,338.15 = 1,043.57 : x
  2. Step 2: Convert to fraction form
    2,892.70/4,338.15 = 1,043.57/x
  3. Step 3: Cross multiply
    2,892.70x = 4,338.15 × 1,043.57
  4. Step 4: Simplify right side
    2,892.70x = 4,527,179.41
  5. Step 5: Solve for x
    x = 4,527,179.41/2,892.70
  6. Step 6: Final answer
    x = 1,565.04

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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.