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Finding the Fourth Proportional to 2,689.56, 4,034.34 and 741.87

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Solution

The fourth proportional to 2,689.56, 4,034.34 and 741.87 is: 1,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.56 : 4,034.34 = 741.87 : x
  2. Step 2: Convert to fraction form
    2,689.56/4,034.34 = 741.87/x
  3. Step 3: Cross multiply
    2,689.56x = 4,034.34 × 741.87
  4. Step 4: Simplify right side
    2,689.56x = 2,992,955.82
  5. Step 5: Solve for x
    x = 2,992,955.82/2,689.56
  6. Step 6: Final answer
    x = 1,112.81

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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.