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Finding the Fourth Proportional to 2,711.52, 3,732.16 and 1,924.20

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Solution

The fourth proportional to 2,711.52, 3,732.16 and 1,924.20 is: 2,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.52 : 3,732.16 = 1,924.20 : x
  2. Step 2: Convert to fraction form
    2,711.52/3,732.16 = 1,924.20/x
  3. Step 3: Cross multiply
    2,711.52x = 3,732.16 × 1,924.20
  4. Step 4: Simplify right side
    2,711.52x = 7,181,422.27
  5. Step 5: Solve for x
    x = 7,181,422.27/2,711.52
  6. Step 6: Final answer
    x = 2,648.49

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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.