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Finding the Fourth Proportional to 2,034.51, 3,049.38 and 979.69

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Solution

The fourth proportional to 2,034.51, 3,049.38 and 979.69 is: 1,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.51 : 3,049.38 = 979.69 : x
  2. Step 2: Convert to fraction form
    2,034.51/3,049.38 = 979.69/x
  3. Step 3: Cross multiply
    2,034.51x = 3,049.38 × 979.69
  4. Step 4: Simplify right side
    2,034.51x = 2,987,447.09
  5. Step 5: Solve for x
    x = 2,987,447.09/2,034.51
  6. Step 6: Final answer
    x = 1,468.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.