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Finding the Fourth Proportional to 2,527.92, 3,774.24 and 2,180.88

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Solution

The fourth proportional to 2,527.92, 3,774.24 and 2,180.88 is: 3,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.92 : 3,774.24 = 2,180.88 : x
  2. Step 2: Convert to fraction form
    2,527.92/3,774.24 = 2,180.88/x
  3. Step 3: Cross multiply
    2,527.92x = 3,774.24 × 2,180.88
  4. Step 4: Simplify right side
    2,527.92x = 8,231,164.53
  5. Step 5: Solve for x
    x = 8,231,164.53/2,527.92
  6. Step 6: Final answer
    x = 3,256.10

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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.