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Finding the Fourth Proportional to 2,139.40, 2,951.82 and 1,990.75

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Solution

The fourth proportional to 2,139.40, 2,951.82 and 1,990.75 is: 2,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.40 : 2,951.82 = 1,990.75 : x
  2. Step 2: Convert to fraction form
    2,139.40/2,951.82 = 1,990.75/x
  3. Step 3: Cross multiply
    2,139.40x = 2,951.82 × 1,990.75
  4. Step 4: Simplify right side
    2,139.40x = 5,876,335.67
  5. Step 5: Solve for x
    x = 5,876,335.67/2,139.40
  6. Step 6: Final answer
    x = 2,746.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.