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Finding the Fourth Proportional to 2,585.56, 3,878.33 and 1,025.92

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Solution

The fourth proportional to 2,585.56, 3,878.33 and 1,025.92 is: 1,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.56 : 3,878.33 = 1,025.92 : x
  2. Step 2: Convert to fraction form
    2,585.56/3,878.33 = 1,025.92/x
  3. Step 3: Cross multiply
    2,585.56x = 3,878.33 × 1,025.92
  4. Step 4: Simplify right side
    2,585.56x = 3,978,861.80
  5. Step 5: Solve for x
    x = 3,978,861.80/2,585.56
  6. Step 6: Final answer
    x = 1,538.88

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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.