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Finding the Fourth Proportional to 2,861.70, 4,292.55 and 2,505.30

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Solution

The fourth proportional to 2,861.70, 4,292.55 and 2,505.30 is: 3,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.70 : 4,292.55 = 2,505.30 : x
  2. Step 2: Convert to fraction form
    2,861.70/4,292.55 = 2,505.30/x
  3. Step 3: Cross multiply
    2,861.70x = 4,292.55 × 2,505.30
  4. Step 4: Simplify right side
    2,861.70x = 10,754,125.52
  5. Step 5: Solve for x
    x = 10,754,125.52/2,861.70
  6. Step 6: Final answer
    x = 3,757.95

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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.