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Finding the Fourth Proportional to 2,913.39, 4,021.97 and 1,974.14

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Solution

The fourth proportional to 2,913.39, 4,021.97 and 1,974.14 is: 2,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.39 : 4,021.97 = 1,974.14 : x
  2. Step 2: Convert to fraction form
    2,913.39/4,021.97 = 1,974.14/x
  3. Step 3: Cross multiply
    2,913.39x = 4,021.97 × 1,974.14
  4. Step 4: Simplify right side
    2,913.39x = 7,939,932.04
  5. Step 5: Solve for x
    x = 7,939,932.04/2,913.39
  6. Step 6: Final answer
    x = 2,725.33

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