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Finding the Fourth Proportional to 2,015.70, 2,781.15 and 1,269.78

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Solution

The fourth proportional to 2,015.70, 2,781.15 and 1,269.78 is: 1,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.70 : 2,781.15 = 1,269.78 : x
  2. Step 2: Convert to fraction form
    2,015.70/2,781.15 = 1,269.78/x
  3. Step 3: Cross multiply
    2,015.70x = 2,781.15 × 1,269.78
  4. Step 4: Simplify right side
    2,015.70x = 3,531,448.65
  5. Step 5: Solve for x
    x = 3,531,448.65/2,015.70
  6. Step 6: Final answer
    x = 1,751.97

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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.