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Finding the Fourth Proportional to 2,574.32, 3,861.42 and 2,505.97

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Solution

The fourth proportional to 2,574.32, 3,861.42 and 2,505.97 is: 3,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.32 : 3,861.42 = 2,505.97 : x
  2. Step 2: Convert to fraction form
    2,574.32/3,861.42 = 2,505.97/x
  3. Step 3: Cross multiply
    2,574.32x = 3,861.42 × 2,505.97
  4. Step 4: Simplify right side
    2,574.32x = 9,676,602.68
  5. Step 5: Solve for x
    x = 9,676,602.68/2,574.32
  6. Step 6: Final answer
    x = 3,758.90

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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.