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Finding the Fourth Proportional to 2,148.88, 3,220.92 and 849.52

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Solution

The fourth proportional to 2,148.88, 3,220.92 and 849.52 is: 1,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.88 : 3,220.92 = 849.52 : x
  2. Step 2: Convert to fraction form
    2,148.88/3,220.92 = 849.52/x
  3. Step 3: Cross multiply
    2,148.88x = 3,220.92 × 849.52
  4. Step 4: Simplify right side
    2,148.88x = 2,736,235.96
  5. Step 5: Solve for x
    x = 2,736,235.96/2,148.88
  6. Step 6: Final answer
    x = 1,273.33

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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.