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Finding the Fourth Proportional to 2,098.40, 3,146.97 and 865.47

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Solution

The fourth proportional to 2,098.40, 3,146.97 and 865.47 is: 1,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.40 : 3,146.97 = 865.47 : x
  2. Step 2: Convert to fraction form
    2,098.40/3,146.97 = 865.47/x
  3. Step 3: Cross multiply
    2,098.40x = 3,146.97 × 865.47
  4. Step 4: Simplify right side
    2,098.40x = 2,723,608.13
  5. Step 5: Solve for x
    x = 2,723,608.13/2,098.40
  6. Step 6: Final answer
    x = 1,297.95

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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.