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Finding the Fourth Proportional to 2,398.98, 3,593.66 and 1,098.66

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Solution

The fourth proportional to 2,398.98, 3,593.66 and 1,098.66 is: 1,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.98 : 3,593.66 = 1,098.66 : x
  2. Step 2: Convert to fraction form
    2,398.98/3,593.66 = 1,098.66/x
  3. Step 3: Cross multiply
    2,398.98x = 3,593.66 × 1,098.66
  4. Step 4: Simplify right side
    2,398.98x = 3,948,210.50
  5. Step 5: Solve for x
    x = 3,948,210.50/2,398.98
  6. Step 6: Final answer
    x = 1,645.79

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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.