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Finding the Fourth Proportional to 2,098.81, 3,147.76 and 865.90

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Solution

The fourth proportional to 2,098.81, 3,147.76 and 865.90 is: 1,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.81 : 3,147.76 = 865.90 : x
  2. Step 2: Convert to fraction form
    2,098.81/3,147.76 = 865.90/x
  3. Step 3: Cross multiply
    2,098.81x = 3,147.76 × 865.90
  4. Step 4: Simplify right side
    2,098.81x = 2,725,645.38
  5. Step 5: Solve for x
    x = 2,725,645.38/2,098.81
  6. Step 6: Final answer
    x = 1,298.66

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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.