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Finding the Fourth Proportional to 2,139.89, 3,211.65 and 842.27

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Solution

The fourth proportional to 2,139.89, 3,211.65 and 842.27 is: 1,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.89 : 3,211.65 = 842.27 : x
  2. Step 2: Convert to fraction form
    2,139.89/3,211.65 = 842.27/x
  3. Step 3: Cross multiply
    2,139.89x = 3,211.65 × 842.27
  4. Step 4: Simplify right side
    2,139.89x = 2,705,076.45
  5. Step 5: Solve for x
    x = 2,705,076.45/2,139.89
  6. Step 6: Final answer
    x = 1,264.12

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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.