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Finding the Fourth Proportional to 2,462.52, 3,398.93 and 1,400.91

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Solution

The fourth proportional to 2,462.52, 3,398.93 and 1,400.91 is: 1,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.52 : 3,398.93 = 1,400.91 : x
  2. Step 2: Convert to fraction form
    2,462.52/3,398.93 = 1,400.91/x
  3. Step 3: Cross multiply
    2,462.52x = 3,398.93 × 1,400.91
  4. Step 4: Simplify right side
    2,462.52x = 4,761,593.28
  5. Step 5: Solve for x
    x = 4,761,593.28/2,462.52
  6. Step 6: Final answer
    x = 1,933.62

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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.