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Finding the Fourth Proportional to 2,139.91, 2,951.63 and 1,610.17

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Solution

The fourth proportional to 2,139.91, 2,951.63 and 1,610.17 is: 2,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.91 : 2,951.63 = 1,610.17 : x
  2. Step 2: Convert to fraction form
    2,139.91/2,951.63 = 1,610.17/x
  3. Step 3: Cross multiply
    2,139.91x = 2,951.63 × 1,610.17
  4. Step 4: Simplify right side
    2,139.91x = 4,752,626.08
  5. Step 5: Solve for x
    x = 4,752,626.08/2,139.91
  6. Step 6: Final answer
    x = 2,220.95

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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.