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Finding the Fourth Proportional to 2,247.96, 3,373.46 and 787.13

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Solution

The fourth proportional to 2,247.96, 3,373.46 and 787.13 is: 1,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.96 : 3,373.46 = 787.13 : x
  2. Step 2: Convert to fraction form
    2,247.96/3,373.46 = 787.13/x
  3. Step 3: Cross multiply
    2,247.96x = 3,373.46 × 787.13
  4. Step 4: Simplify right side
    2,247.96x = 2,655,349.32
  5. Step 5: Solve for x
    x = 2,655,349.32/2,247.96
  6. Step 6: Final answer
    x = 1,181.22

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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.