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Finding the Fourth Proportional to 2,872.16, 3,961.15 and 2,426.22

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Solution

The fourth proportional to 2,872.16, 3,961.15 and 2,426.22 is: 3,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.16 : 3,961.15 = 2,426.22 : x
  2. Step 2: Convert to fraction form
    2,872.16/3,961.15 = 2,426.22/x
  3. Step 3: Cross multiply
    2,872.16x = 3,961.15 × 2,426.22
  4. Step 4: Simplify right side
    2,872.16x = 9,610,621.35
  5. Step 5: Solve for x
    x = 9,610,621.35/2,872.16
  6. Step 6: Final answer
    x = 3,346.13

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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.