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Finding the Fourth Proportional to 2,527.92, 3,489.18 and 2,278.80

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Solution

The fourth proportional to 2,527.92, 3,489.18 and 2,278.80 is: 3,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.92 : 3,489.18 = 2,278.80 : x
  2. Step 2: Convert to fraction form
    2,527.92/3,489.18 = 2,278.80/x
  3. Step 3: Cross multiply
    2,527.92x = 3,489.18 × 2,278.80
  4. Step 4: Simplify right side
    2,527.92x = 7,951,143.38
  5. Step 5: Solve for x
    x = 7,951,143.38/2,527.92
  6. Step 6: Final answer
    x = 3,145.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.