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Finding the Fourth Proportional to 2,872.08, 3,963.14 and 1,612.86

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Solution

The fourth proportional to 2,872.08, 3,963.14 and 1,612.86 is: 2,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.08 : 3,963.14 = 1,612.86 : x
  2. Step 2: Convert to fraction form
    2,872.08/3,963.14 = 1,612.86/x
  3. Step 3: Cross multiply
    2,872.08x = 3,963.14 × 1,612.86
  4. Step 4: Simplify right side
    2,872.08x = 6,391,981.92
  5. Step 5: Solve for x
    x = 6,391,981.92/2,872.08
  6. Step 6: Final answer
    x = 2,225.56

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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.