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Finding the Fourth Proportional to 2,098.09, 3,147.12 and 538.09

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Solution

The fourth proportional to 2,098.09, 3,147.12 and 538.09 is: 807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.09 : 3,147.12 = 538.09 : x
  2. Step 2: Convert to fraction form
    2,098.09/3,147.12 = 538.09/x
  3. Step 3: Cross multiply
    2,098.09x = 3,147.12 × 538.09
  4. Step 4: Simplify right side
    2,098.09x = 1,693,433.80
  5. Step 5: Solve for x
    x = 1,693,433.80/2,098.09
  6. Step 6: Final answer
    x = 807.13

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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.