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Finding the Fourth Proportional to 2,139.92, 3,207.60 and 1,992.30

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Solution

The fourth proportional to 2,139.92, 3,207.60 and 1,992.30 is: 2,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.92 : 3,207.60 = 1,992.30 : x
  2. Step 2: Convert to fraction form
    2,139.92/3,207.60 = 1,992.30/x
  3. Step 3: Cross multiply
    2,139.92x = 3,207.60 × 1,992.30
  4. Step 4: Simplify right side
    2,139.92x = 6,390,489.45
  5. Step 5: Solve for x
    x = 6,390,489.45/2,139.92
  6. Step 6: Final answer
    x = 2,986.32

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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.