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Finding the Fourth Proportional to 2,249.47, 3,104.78 and 1,462.15

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Solution

The fourth proportional to 2,249.47, 3,104.78 and 1,462.15 is: 2,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.47 : 3,104.78 = 1,462.15 : x
  2. Step 2: Convert to fraction form
    2,249.47/3,104.78 = 1,462.15/x
  3. Step 3: Cross multiply
    2,249.47x = 3,104.78 × 1,462.15
  4. Step 4: Simplify right side
    2,249.47x = 4,539,658.87
  5. Step 5: Solve for x
    x = 4,539,658.87/2,249.47
  6. Step 6: Final answer
    x = 2,018.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.