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Finding the Fourth Proportional to 3,161.97, 4,743.08 and 1,187.39

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Solution

The fourth proportional to 3,161.97, 4,743.08 and 1,187.39 is: 1,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.97 : 4,743.08 = 1,187.39 : x
  2. Step 2: Convert to fraction form
    3,161.97/4,743.08 = 1,187.39/x
  3. Step 3: Cross multiply
    3,161.97x = 4,743.08 × 1,187.39
  4. Step 4: Simplify right side
    3,161.97x = 5,631,885.76
  5. Step 5: Solve for x
    x = 5,631,885.76/3,161.97
  6. Step 6: Final answer
    x = 1,781.13

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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.