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Finding the Fourth Proportional to 2,861.43, 4,269.10 and 2,549.55

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Solution

The fourth proportional to 2,861.43, 4,269.10 and 2,549.55 is: 3,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.43 : 4,269.10 = 2,549.55 : x
  2. Step 2: Convert to fraction form
    2,861.43/4,269.10 = 2,549.55/x
  3. Step 3: Cross multiply
    2,861.43x = 4,269.10 × 2,549.55
  4. Step 4: Simplify right side
    2,861.43x = 10,884,283.91
  5. Step 5: Solve for x
    x = 10,884,283.91/2,861.43
  6. Step 6: Final answer
    x = 3,803.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.