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Finding the Fourth Proportional to 2,689.71, 4,034.39 and 741.75

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Solution

The fourth proportional to 2,689.71, 4,034.39 and 741.75 is: 1,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.71 : 4,034.39 = 741.75 : x
  2. Step 2: Convert to fraction form
    2,689.71/4,034.39 = 741.75/x
  3. Step 3: Cross multiply
    2,689.71x = 4,034.39 × 741.75
  4. Step 4: Simplify right side
    2,689.71x = 2,992,505.07
  5. Step 5: Solve for x
    x = 2,992,505.07/2,689.71
  6. Step 6: Final answer
    x = 1,112.58

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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.