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Finding the Fourth Proportional to 2,689.14, 4,033.81 and 741.49

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Solution

The fourth proportional to 2,689.14, 4,033.81 and 741.49 is: 1,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.14 : 4,033.81 = 741.49 : x
  2. Step 2: Convert to fraction form
    2,689.14/4,033.81 = 741.49/x
  3. Step 3: Cross multiply
    2,689.14x = 4,033.81 × 741.49
  4. Step 4: Simplify right side
    2,689.14x = 2,991,029.78
  5. Step 5: Solve for x
    x = 2,991,029.78/2,689.14
  6. Step 6: Final answer
    x = 1,112.26

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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.