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Finding the Fourth Proportional to 3,231.52, 4,458.13 and 2,034.38

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Solution

The fourth proportional to 3,231.52, 4,458.13 and 2,034.38 is: 2,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.52 : 4,458.13 = 2,034.38 : x
  2. Step 2: Convert to fraction form
    3,231.52/4,458.13 = 2,034.38/x
  3. Step 3: Cross multiply
    3,231.52x = 4,458.13 × 2,034.38
  4. Step 4: Simplify right side
    3,231.52x = 9,069,530.51
  5. Step 5: Solve for x
    x = 9,069,530.51/3,231.52
  6. Step 6: Final answer
    x = 2,806.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.