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Finding the Fourth Proportional to 2,247.78, 3,371.67 and 787.35

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Solution

The fourth proportional to 2,247.78, 3,371.67 and 787.35 is: 1,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.78 : 3,371.67 = 787.35 : x
  2. Step 2: Convert to fraction form
    2,247.78/3,371.67 = 787.35/x
  3. Step 3: Cross multiply
    2,247.78x = 3,371.67 × 787.35
  4. Step 4: Simplify right side
    2,247.78x = 2,654,680.44
  5. Step 5: Solve for x
    x = 2,654,680.44/2,247.78
  6. Step 6: Final answer
    x = 1,181.02

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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.