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Finding the Fourth Proportional to 2,249.25, 3,371.83 and 787.60

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Solution

The fourth proportional to 2,249.25, 3,371.83 and 787.60 is: 1,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.25 : 3,371.83 = 787.60 : x
  2. Step 2: Convert to fraction form
    2,249.25/3,371.83 = 787.60/x
  3. Step 3: Cross multiply
    2,249.25x = 3,371.83 × 787.60
  4. Step 4: Simplify right side
    2,249.25x = 2,655,661.74
  5. Step 5: Solve for x
    x = 2,655,661.74/2,249.25
  6. Step 6: Final answer
    x = 1,180.69

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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.