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Finding the Fourth Proportional to 2,527.68, 3,789.19 and 2,320.12

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Solution

The fourth proportional to 2,527.68, 3,789.19 and 2,320.12 is: 3,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.68 : 3,789.19 = 2,320.12 : x
  2. Step 2: Convert to fraction form
    2,527.68/3,789.19 = 2,320.12/x
  3. Step 3: Cross multiply
    2,527.68x = 3,789.19 × 2,320.12
  4. Step 4: Simplify right side
    2,527.68x = 8,791,375.50
  5. Step 5: Solve for x
    x = 8,791,375.50/2,527.68
  6. Step 6: Final answer
    x = 3,478.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.