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Finding the Fourth Proportional to 1,949.84, 2,690.79 and 1,065.66

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Solution

The fourth proportional to 1,949.84, 2,690.79 and 1,065.66 is: 1,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.84 : 2,690.79 = 1,065.66 : x
  2. Step 2: Convert to fraction form
    1,949.84/2,690.79 = 1,065.66/x
  3. Step 3: Cross multiply
    1,949.84x = 2,690.79 × 1,065.66
  4. Step 4: Simplify right side
    1,949.84x = 2,867,467.27
  5. Step 5: Solve for x
    x = 2,867,467.27/1,949.84
  6. Step 6: Final answer
    x = 1,470.62

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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.