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Finding the Fourth Proportional to 2,249.19, 3,372.84 and 787.55

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Solution

The fourth proportional to 2,249.19, 3,372.84 and 787.55 is: 1,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.19 : 3,372.84 = 787.55 : x
  2. Step 2: Convert to fraction form
    2,249.19/3,372.84 = 787.55/x
  3. Step 3: Cross multiply
    2,249.19x = 3,372.84 × 787.55
  4. Step 4: Simplify right side
    2,249.19x = 2,656,263.28
  5. Step 5: Solve for x
    x = 2,656,263.28/2,249.19
  6. Step 6: Final answer
    x = 1,180.99

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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.