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Finding the Fourth Proportional to 2,616.16, 3,927.12 and 1,078.24

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Solution

The fourth proportional to 2,616.16, 3,927.12 and 1,078.24 is: 1,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.16 : 3,927.12 = 1,078.24 : x
  2. Step 2: Convert to fraction form
    2,616.16/3,927.12 = 1,078.24/x
  3. Step 3: Cross multiply
    2,616.16x = 3,927.12 × 1,078.24
  4. Step 4: Simplify right side
    2,616.16x = 4,234,377.87
  5. Step 5: Solve for x
    x = 4,234,377.87/2,616.16
  6. Step 6: Final answer
    x = 1,618.55

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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.