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Finding the Fourth Proportional to 2,689.75, 4,034.44 and 741.97

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Solution

The fourth proportional to 2,689.75, 4,034.44 and 741.97 is: 1,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.75 : 4,034.44 = 741.97 : x
  2. Step 2: Convert to fraction form
    2,689.75/4,034.44 = 741.97/x
  3. Step 3: Cross multiply
    2,689.75x = 4,034.44 × 741.97
  4. Step 4: Simplify right side
    2,689.75x = 2,993,433.45
  5. Step 5: Solve for x
    x = 2,993,433.45/2,689.75
  6. Step 6: Final answer
    x = 1,112.90

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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.