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Finding the Fourth Proportional to 2,247.57, 3,371.43 and 787.74

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Solution

The fourth proportional to 2,247.57, 3,371.43 and 787.74 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.57 : 3,371.43 = 787.74 : x
  2. Step 2: Convert to fraction form
    2,247.57/3,371.43 = 787.74/x
  3. Step 3: Cross multiply
    2,247.57x = 3,371.43 × 787.74
  4. Step 4: Simplify right side
    2,247.57x = 2,655,810.27
  5. Step 5: Solve for x
    x = 2,655,810.27/2,247.57
  6. Step 6: Final answer
    x = 1,181.64

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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.