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Finding the Fourth Proportional to 2,217.52, 3,326.26 and 849.52

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Solution

The fourth proportional to 2,217.52, 3,326.26 and 849.52 is: 1,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.52 : 3,326.26 = 849.52 : x
  2. Step 2: Convert to fraction form
    2,217.52/3,326.26 = 849.52/x
  3. Step 3: Cross multiply
    2,217.52x = 3,326.26 × 849.52
  4. Step 4: Simplify right side
    2,217.52x = 2,825,724.40
  5. Step 5: Solve for x
    x = 2,825,724.40/2,217.52
  6. Step 6: Final answer
    x = 1,274.27

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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.