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Finding the Fourth Proportional to 2,098.97, 3,148.91 and 1,001.82

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Solution

The fourth proportional to 2,098.97, 3,148.91 and 1,001.82 is: 1,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.97 : 3,148.91 = 1,001.82 : x
  2. Step 2: Convert to fraction form
    2,098.97/3,148.91 = 1,001.82/x
  3. Step 3: Cross multiply
    2,098.97x = 3,148.91 × 1,001.82
  4. Step 4: Simplify right side
    2,098.97x = 3,154,636.01
  5. Step 5: Solve for x
    x = 3,154,636.01/2,098.97
  6. Step 6: Final answer
    x = 1,502.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.