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Finding the Fourth Proportional to 2,724.52, 3,757.12 and 2,424.84

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Solution

The fourth proportional to 2,724.52, 3,757.12 and 2,424.84 is: 3,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.52 : 3,757.12 = 2,424.84 : x
  2. Step 2: Convert to fraction form
    2,724.52/3,757.12 = 2,424.84/x
  3. Step 3: Cross multiply
    2,724.52x = 3,757.12 × 2,424.84
  4. Step 4: Simplify right side
    2,724.52x = 9,110,414.86
  5. Step 5: Solve for x
    x = 9,110,414.86/2,724.52
  6. Step 6: Final answer
    x = 3,343.86

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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.