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Finding the Fourth Proportional to 2,737.67, 4,107.41 and 888.84

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Solution

The fourth proportional to 2,737.67, 4,107.41 and 888.84 is: 1,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.67 : 4,107.41 = 888.84 : x
  2. Step 2: Convert to fraction form
    2,737.67/4,107.41 = 888.84/x
  3. Step 3: Cross multiply
    2,737.67x = 4,107.41 × 888.84
  4. Step 4: Simplify right side
    2,737.67x = 3,650,830.30
  5. Step 5: Solve for x
    x = 3,650,830.30/2,737.67
  6. Step 6: Final answer
    x = 1,333.55

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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.