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Finding the Fourth Proportional to 2,398.67, 3,592.80 and 1,163.49

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Solution

The fourth proportional to 2,398.67, 3,592.80 and 1,163.49 is: 1,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.67 : 3,592.80 = 1,163.49 : x
  2. Step 2: Convert to fraction form
    2,398.67/3,592.80 = 1,163.49/x
  3. Step 3: Cross multiply
    2,398.67x = 3,592.80 × 1,163.49
  4. Step 4: Simplify right side
    2,398.67x = 4,180,169.04
  5. Step 5: Solve for x
    x = 4,180,169.04/2,398.67
  6. Step 6: Final answer
    x = 1,742.70

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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.