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Finding the Fourth Proportional to 2,098.48, 3,148.92 and 1,985.88

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Solution

The fourth proportional to 2,098.48, 3,148.92 and 1,985.88 is: 2,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.48 : 3,148.92 = 1,985.88 : x
  2. Step 2: Convert to fraction form
    2,098.48/3,148.92 = 1,985.88/x
  3. Step 3: Cross multiply
    2,098.48x = 3,148.92 × 1,985.88
  4. Step 4: Simplify right side
    2,098.48x = 6,253,377.25
  5. Step 5: Solve for x
    x = 6,253,377.25/2,098.48
  6. Step 6: Final answer
    x = 2,979.96

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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.