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Finding the Fourth Proportional to 2,502.56, 3,422.88 and 2,462.24

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Solution

The fourth proportional to 2,502.56, 3,422.88 and 2,462.24 is: 3,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.56 : 3,422.88 = 2,462.24 : x
  2. Step 2: Convert to fraction form
    2,502.56/3,422.88 = 2,462.24/x
  3. Step 3: Cross multiply
    2,502.56x = 3,422.88 × 2,462.24
  4. Step 4: Simplify right side
    2,502.56x = 8,427,952.05
  5. Step 5: Solve for x
    x = 8,427,952.05/2,502.56
  6. Step 6: Final answer
    x = 3,367.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.