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Finding the Fourth Proportional to 2,781.44, 4,169.28 and 1,319.48

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Solution

The fourth proportional to 2,781.44, 4,169.28 and 1,319.48 is: 1,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.44 : 4,169.28 = 1,319.48 : x
  2. Step 2: Convert to fraction form
    2,781.44/4,169.28 = 1,319.48/x
  3. Step 3: Cross multiply
    2,781.44x = 4,169.28 × 1,319.48
  4. Step 4: Simplify right side
    2,781.44x = 5,501,281.57
  5. Step 5: Solve for x
    x = 5,501,281.57/2,781.44
  6. Step 6: Final answer
    x = 1,977.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.