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Finding the Fourth Proportional to 2,248.36, 3,372.74 and 787.62

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Solution

The fourth proportional to 2,248.36, 3,372.74 and 787.62 is: 1,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.36 : 3,372.74 = 787.62 : x
  2. Step 2: Convert to fraction form
    2,248.36/3,372.74 = 787.62/x
  3. Step 3: Cross multiply
    2,248.36x = 3,372.74 × 787.62
  4. Step 4: Simplify right side
    2,248.36x = 2,656,449.14
  5. Step 5: Solve for x
    x = 2,656,449.14/2,248.36
  6. Step 6: Final answer
    x = 1,181.51

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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.