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Finding the Fourth Proportional to 3,098.94, 4,648.82 and 1,150.89

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Solution

The fourth proportional to 3,098.94, 4,648.82 and 1,150.89 is: 1,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.94 : 4,648.82 = 1,150.89 : x
  2. Step 2: Convert to fraction form
    3,098.94/4,648.82 = 1,150.89/x
  3. Step 3: Cross multiply
    3,098.94x = 4,648.82 × 1,150.89
  4. Step 4: Simplify right side
    3,098.94x = 5,350,274.70
  5. Step 5: Solve for x
    x = 5,350,274.70/3,098.94
  6. Step 6: Final answer
    x = 1,726.49

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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.