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Finding the Fourth Proportional to 2,780.38, 4,170.81 and 880.59

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Solution

The fourth proportional to 2,780.38, 4,170.81 and 880.59 is: 1,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.38 : 4,170.81 = 880.59 : x
  2. Step 2: Convert to fraction form
    2,780.38/4,170.81 = 880.59/x
  3. Step 3: Cross multiply
    2,780.38x = 4,170.81 × 880.59
  4. Step 4: Simplify right side
    2,780.38x = 3,672,773.58
  5. Step 5: Solve for x
    x = 3,672,773.58/2,780.38
  6. Step 6: Final answer
    x = 1,320.96

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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.