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Finding the Fourth Proportional to 2,139, 3,211.19 and 1,493.16

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Solution

The fourth proportional to 2,139, 3,211.19 and 1,493.16 is: 2,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139 : 3,211.19 = 1,493.16 : x
  2. Step 2: Convert to fraction form
    2,139/3,211.19 = 1,493.16/x
  3. Step 3: Cross multiply
    2,139x = 3,211.19 × 1,493.16
  4. Step 4: Simplify right side
    2,139x = 4,794,820.46
  5. Step 5: Solve for x
    x = 4,794,820.46/2,139
  6. Step 6: Final answer
    x = 2,241.62

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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.