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Finding the Fourth Proportional to 2,869.71, 3,959.73 and 1,690.62

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Solution

The fourth proportional to 2,869.71, 3,959.73 and 1,690.62 is: 2,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.71 : 3,959.73 = 1,690.62 : x
  2. Step 2: Convert to fraction form
    2,869.71/3,959.73 = 1,690.62/x
  3. Step 3: Cross multiply
    2,869.71x = 3,959.73 × 1,690.62
  4. Step 4: Simplify right side
    2,869.71x = 6,694,398.73
  5. Step 5: Solve for x
    x = 6,694,398.73/2,869.71
  6. Step 6: Final answer
    x = 2,332.78

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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.