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Finding the Fourth Proportional to 2,098.38, 3,147.57 and 559.38

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Solution

The fourth proportional to 2,098.38, 3,147.57 and 559.38 is: 839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.38 : 3,147.57 = 559.38 : x
  2. Step 2: Convert to fraction form
    2,098.38/3,147.57 = 559.38/x
  3. Step 3: Cross multiply
    2,098.38x = 3,147.57 × 559.38
  4. Step 4: Simplify right side
    2,098.38x = 1,760,687.71
  5. Step 5: Solve for x
    x = 1,760,687.71/2,098.38
  6. Step 6: Final answer
    x = 839.07

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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.