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Finding the Fourth Proportional to 2,774.62, 4,161.66 and 1,131.22

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Solution

The fourth proportional to 2,774.62, 4,161.66 and 1,131.22 is: 1,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.62 : 4,161.66 = 1,131.22 : x
  2. Step 2: Convert to fraction form
    2,774.62/4,161.66 = 1,131.22/x
  3. Step 3: Cross multiply
    2,774.62x = 4,161.66 × 1,131.22
  4. Step 4: Simplify right side
    2,774.62x = 4,707,753.03
  5. Step 5: Solve for x
    x = 4,707,753.03/2,774.62
  6. Step 6: Final answer
    x = 1,696.72

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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.