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Finding the Fourth Proportional to 1,781.23, 2,672.22 and 611.14

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Solution

The fourth proportional to 1,781.23, 2,672.22 and 611.14 is: 916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.23 : 2,672.22 = 611.14 : x
  2. Step 2: Convert to fraction form
    1,781.23/2,672.22 = 611.14/x
  3. Step 3: Cross multiply
    1,781.23x = 2,672.22 × 611.14
  4. Step 4: Simplify right side
    1,781.23x = 1,633,100.53
  5. Step 5: Solve for x
    x = 1,633,100.53/1,781.23
  6. Step 6: Final answer
    x = 916.84

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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.