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Finding the Fourth Proportional to 2,634.46, 3,952.10 and 1,249.17

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Solution

The fourth proportional to 2,634.46, 3,952.10 and 1,249.17 is: 1,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.46 : 3,952.10 = 1,249.17 : x
  2. Step 2: Convert to fraction form
    2,634.46/3,952.10 = 1,249.17/x
  3. Step 3: Cross multiply
    2,634.46x = 3,952.10 × 1,249.17
  4. Step 4: Simplify right side
    2,634.46x = 4,936,844.76
  5. Step 5: Solve for x
    x = 4,936,844.76/2,634.46
  6. Step 6: Final answer
    x = 1,873.95

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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.