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Finding the Fourth Proportional to 2,382.48, 3,578.04 and 1,086.48

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Solution

The fourth proportional to 2,382.48, 3,578.04 and 1,086.48 is: 1,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.48 : 3,578.04 = 1,086.48 : x
  2. Step 2: Convert to fraction form
    2,382.48/3,578.04 = 1,086.48/x
  3. Step 3: Cross multiply
    2,382.48x = 3,578.04 × 1,086.48
  4. Step 4: Simplify right side
    2,382.48x = 3,887,468.90
  5. Step 5: Solve for x
    x = 3,887,468.90/2,382.48
  6. Step 6: Final answer
    x = 1,631.69

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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.