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Finding the Fourth Proportional to 2,787.57, 4,181.52 and 1,228.31

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Solution

The fourth proportional to 2,787.57, 4,181.52 and 1,228.31 is: 1,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.57 : 4,181.52 = 1,228.31 : x
  2. Step 2: Convert to fraction form
    2,787.57/4,181.52 = 1,228.31/x
  3. Step 3: Cross multiply
    2,787.57x = 4,181.52 × 1,228.31
  4. Step 4: Simplify right side
    2,787.57x = 5,136,178.85
  5. Step 5: Solve for x
    x = 5,136,178.85/2,787.57
  6. Step 6: Final answer
    x = 1,842.53

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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.