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Finding the Fourth Proportional to 2,472.31, 3,708.47 and 992.20

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Solution

The fourth proportional to 2,472.31, 3,708.47 and 992.20 is: 1,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.31 : 3,708.47 = 992.20 : x
  2. Step 2: Convert to fraction form
    2,472.31/3,708.47 = 992.20/x
  3. Step 3: Cross multiply
    2,472.31x = 3,708.47 × 992.20
  4. Step 4: Simplify right side
    2,472.31x = 3,679,543.93
  5. Step 5: Solve for x
    x = 3,679,543.93/2,472.31
  6. Step 6: Final answer
    x = 1,488.30

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1.5x scale

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.