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Finding the Fourth Proportional to 2,098.98, 3,149.28 and 782.73

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Solution

The fourth proportional to 2,098.98, 3,149.28 and 782.73 is: 1,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.98 : 3,149.28 = 782.73 : x
  2. Step 2: Convert to fraction form
    2,098.98/3,149.28 = 782.73/x
  3. Step 3: Cross multiply
    2,098.98x = 3,149.28 × 782.73
  4. Step 4: Simplify right side
    2,098.98x = 2,465,035.93
  5. Step 5: Solve for x
    x = 2,465,035.93/2,098.98
  6. Step 6: Final answer
    x = 1,174.40

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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.