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Finding the Fourth Proportional to 2,524.22, 3,787.56 and 880.04

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Solution

The fourth proportional to 2,524.22, 3,787.56 and 880.04 is: 1,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.22 : 3,787.56 = 880.04 : x
  2. Step 2: Convert to fraction form
    2,524.22/3,787.56 = 880.04/x
  3. Step 3: Cross multiply
    2,524.22x = 3,787.56 × 880.04
  4. Step 4: Simplify right side
    2,524.22x = 3,333,204.30
  5. Step 5: Solve for x
    x = 3,333,204.30/2,524.22
  6. Step 6: Final answer
    x = 1,320.49

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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.