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Finding the Fourth Proportional to 2,148.52, 3,223.98 and 849.88

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Solution

The fourth proportional to 2,148.52, 3,223.98 and 849.88 is: 1,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.52 : 3,223.98 = 849.88 : x
  2. Step 2: Convert to fraction form
    2,148.52/3,223.98 = 849.88/x
  3. Step 3: Cross multiply
    2,148.52x = 3,223.98 × 849.88
  4. Step 4: Simplify right side
    2,148.52x = 2,739,996.12
  5. Step 5: Solve for x
    x = 2,739,996.12/2,148.52
  6. Step 6: Final answer
    x = 1,275.29

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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.