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Finding the Fourth Proportional to 1,781.87, 2,671.37 and 742.65

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Solution

The fourth proportional to 1,781.87, 2,671.37 and 742.65 is: 1,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.87 : 2,671.37 = 742.65 : x
  2. Step 2: Convert to fraction form
    1,781.87/2,671.37 = 742.65/x
  3. Step 3: Cross multiply
    1,781.87x = 2,671.37 × 742.65
  4. Step 4: Simplify right side
    1,781.87x = 1,983,902.44
  5. Step 5: Solve for x
    x = 1,983,902.44/1,781.87
  6. Step 6: Final answer
    x = 1,113.38

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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.