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Finding the Fourth Proportional to 2,140.98, 3,212.73 and 842.82

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Solution

The fourth proportional to 2,140.98, 3,212.73 and 842.82 is: 1,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.98 : 3,212.73 = 842.82 : x
  2. Step 2: Convert to fraction form
    2,140.98/3,212.73 = 842.82/x
  3. Step 3: Cross multiply
    2,140.98x = 3,212.73 × 842.82
  4. Step 4: Simplify right side
    2,140.98x = 2,707,753.10
  5. Step 5: Solve for x
    x = 2,707,753.10/2,140.98
  6. Step 6: Final answer
    x = 1,264.73

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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.