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Finding the Fourth Proportional to 2,462.62, 3,398.10 and 1,454.47

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Solution

The fourth proportional to 2,462.62, 3,398.10 and 1,454.47 is: 2,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.62 : 3,398.10 = 1,454.47 : x
  2. Step 2: Convert to fraction form
    2,462.62/3,398.10 = 1,454.47/x
  3. Step 3: Cross multiply
    2,462.62x = 3,398.10 × 1,454.47
  4. Step 4: Simplify right side
    2,462.62x = 4,942,447.85
  5. Step 5: Solve for x
    x = 4,942,447.85/2,462.62
  6. Step 6: Final answer
    x = 2,006.99

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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.