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Finding the Fourth Proportional to 2,247.96, 3,371.95 and 787.11

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Solution

The fourth proportional to 2,247.96, 3,371.95 and 787.11 is: 1,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.96 : 3,371.95 = 787.11 : x
  2. Step 2: Convert to fraction form
    2,247.96/3,371.95 = 787.11/x
  3. Step 3: Cross multiply
    2,247.96x = 3,371.95 × 787.11
  4. Step 4: Simplify right side
    2,247.96x = 2,654,095.56
  5. Step 5: Solve for x
    x = 2,654,095.56/2,247.96
  6. Step 6: Final answer
    x = 1,180.67

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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.