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Finding the Fourth Proportional to 2,778.76, 3,834.56 and 1,519.80

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Solution

The fourth proportional to 2,778.76, 3,834.56 and 1,519.80 is: 2,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.76 : 3,834.56 = 1,519.80 : x
  2. Step 2: Convert to fraction form
    2,778.76/3,834.56 = 1,519.80/x
  3. Step 3: Cross multiply
    2,778.76x = 3,834.56 × 1,519.80
  4. Step 4: Simplify right side
    2,778.76x = 5,827,764.29
  5. Step 5: Solve for x
    x = 5,827,764.29/2,778.76
  6. Step 6: Final answer
    x = 2,097.25

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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.