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Finding the Fourth Proportional to 3,098.47, 4,649.78 and 1,150.87

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Solution

The fourth proportional to 3,098.47, 4,649.78 and 1,150.87 is: 1,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.47 : 4,649.78 = 1,150.87 : x
  2. Step 2: Convert to fraction form
    3,098.47/4,649.78 = 1,150.87/x
  3. Step 3: Cross multiply
    3,098.47x = 4,649.78 × 1,150.87
  4. Step 4: Simplify right side
    3,098.47x = 5,351,292.31
  5. Step 5: Solve for x
    x = 5,351,292.31/3,098.47
  6. Step 6: Final answer
    x = 1,727.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.