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Finding the Fourth Proportional to 2,731.80, 4,098.11 and 882.37

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Solution

The fourth proportional to 2,731.80, 4,098.11 and 882.37 is: 1,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.80 : 4,098.11 = 882.37 : x
  2. Step 2: Convert to fraction form
    2,731.80/4,098.11 = 882.37/x
  3. Step 3: Cross multiply
    2,731.80x = 4,098.11 × 882.37
  4. Step 4: Simplify right side
    2,731.80x = 3,616,049.32
  5. Step 5: Solve for x
    x = 3,616,049.32/2,731.80
  6. Step 6: Final answer
    x = 1,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.