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Finding the Fourth Proportional to 2,098.76, 3,148.12 and 865.36

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Solution

The fourth proportional to 2,098.76, 3,148.12 and 865.36 is: 1,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.76 : 3,148.12 = 865.36 : x
  2. Step 2: Convert to fraction form
    2,098.76/3,148.12 = 865.36/x
  3. Step 3: Cross multiply
    2,098.76x = 3,148.12 × 865.36
  4. Step 4: Simplify right side
    2,098.76x = 2,724,257.12
  5. Step 5: Solve for x
    x = 2,724,257.12/2,098.76
  6. Step 6: Final answer
    x = 1,298.03

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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.