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Finding the Fourth Proportional to 2,577.66, 3,857.24 and 2,232.18

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Solution

The fourth proportional to 2,577.66, 3,857.24 and 2,232.18 is: 3,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.66 : 3,857.24 = 2,232.18 : x
  2. Step 2: Convert to fraction form
    2,577.66/3,857.24 = 2,232.18/x
  3. Step 3: Cross multiply
    2,577.66x = 3,857.24 × 2,232.18
  4. Step 4: Simplify right side
    2,577.66x = 8,610,042.82
  5. Step 5: Solve for x
    x = 8,610,042.82/2,577.66
  6. Step 6: Final answer
    x = 3,340.26

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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.