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Finding the Fourth Proportional to 3,371.75, 4,653.02 and 1,974.50

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Solution

The fourth proportional to 3,371.75, 4,653.02 and 1,974.50 is: 2,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.75 : 4,653.02 = 1,974.50 : x
  2. Step 2: Convert to fraction form
    3,371.75/4,653.02 = 1,974.50/x
  3. Step 3: Cross multiply
    3,371.75x = 4,653.02 × 1,974.50
  4. Step 4: Simplify right side
    3,371.75x = 9,187,387.99
  5. Step 5: Solve for x
    x = 9,187,387.99/3,371.75
  6. Step 6: Final answer
    x = 2,724.81

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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.