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Finding the Fourth Proportional to 2,247.49, 3,371.60 and 787.06

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Solution

The fourth proportional to 2,247.49, 3,371.60 and 787.06 is: 1,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.49 : 3,371.60 = 787.06 : x
  2. Step 2: Convert to fraction form
    2,247.49/3,371.60 = 787.06/x
  3. Step 3: Cross multiply
    2,247.49x = 3,371.60 × 787.06
  4. Step 4: Simplify right side
    2,247.49x = 2,653,651.50
  5. Step 5: Solve for x
    x = 2,653,651.50/2,247.49
  6. Step 6: Final answer
    x = 1,180.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.