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Finding the Fourth Proportional to 2,872.14, 3,963.22 and 1,612.93

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Solution

The fourth proportional to 2,872.14, 3,963.22 and 1,612.93 is: 2,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.14 : 3,963.22 = 1,612.93 : x
  2. Step 2: Convert to fraction form
    2,872.14/3,963.22 = 1,612.93/x
  3. Step 3: Cross multiply
    2,872.14x = 3,963.22 × 1,612.93
  4. Step 4: Simplify right side
    2,872.14x = 6,392,396.43
  5. Step 5: Solve for x
    x = 6,392,396.43/2,872.14
  6. Step 6: Final answer
    x = 2,225.66

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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.