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Finding the Fourth Proportional to 1,672.57, 2,505.43 and 781.82

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Solution

The fourth proportional to 1,672.57, 2,505.43 and 781.82 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.57 : 2,505.43 = 781.82 : x
  2. Step 2: Convert to fraction form
    1,672.57/2,505.43 = 781.82/x
  3. Step 3: Cross multiply
    1,672.57x = 2,505.43 × 781.82
  4. Step 4: Simplify right side
    1,672.57x = 1,958,793.33
  5. Step 5: Solve for x
    x = 1,958,793.33/1,672.57
  6. Step 6: Final answer
    x = 1,171.13

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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.