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Finding the Fourth Proportional to 2,787.46, 4,181.10 and 1,327.66

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Solution

The fourth proportional to 2,787.46, 4,181.10 and 1,327.66 is: 1,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.46 : 4,181.10 = 1,327.66 : x
  2. Step 2: Convert to fraction form
    2,787.46/4,181.10 = 1,327.66/x
  3. Step 3: Cross multiply
    2,787.46x = 4,181.10 × 1,327.66
  4. Step 4: Simplify right side
    2,787.46x = 5,551,079.23
  5. Step 5: Solve for x
    x = 5,551,079.23/2,787.46
  6. Step 6: Final answer
    x = 1,991.45

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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.