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Finding the Fourth Proportional to 2,098.68, 3,147.09 and 637.57

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Solution

The fourth proportional to 2,098.68, 3,147.09 and 637.57 is: 956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.68 : 3,147.09 = 637.57 : x
  2. Step 2: Convert to fraction form
    2,098.68/3,147.09 = 637.57/x
  3. Step 3: Cross multiply
    2,098.68x = 3,147.09 × 637.57
  4. Step 4: Simplify right side
    2,098.68x = 2,006,490.17
  5. Step 5: Solve for x
    x = 2,006,490.17/2,098.68
  6. Step 6: Final answer
    x = 956.07

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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.