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Finding the Fourth Proportional to 2,140.73, 3,211.48 and 679.54

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Solution

The fourth proportional to 2,140.73, 3,211.48 and 679.54 is: 1,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.73 : 3,211.48 = 679.54 : x
  2. Step 2: Convert to fraction form
    2,140.73/3,211.48 = 679.54/x
  3. Step 3: Cross multiply
    2,140.73x = 3,211.48 × 679.54
  4. Step 4: Simplify right side
    2,140.73x = 2,182,329.12
  5. Step 5: Solve for x
    x = 2,182,329.12/2,140.73
  6. Step 6: Final answer
    x = 1,019.43

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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.