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Finding the Fourth Proportional to 1,949.33, 2,690.08 and 1,065.15

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Solution

The fourth proportional to 1,949.33, 2,690.08 and 1,065.15 is: 1,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.33 : 2,690.08 = 1,065.15 : x
  2. Step 2: Convert to fraction form
    1,949.33/2,690.08 = 1,065.15/x
  3. Step 3: Cross multiply
    1,949.33x = 2,690.08 × 1,065.15
  4. Step 4: Simplify right side
    1,949.33x = 2,865,338.71
  5. Step 5: Solve for x
    x = 2,865,338.71/1,949.33
  6. Step 6: Final answer
    x = 1,469.91

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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.