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Finding the Fourth Proportional to 2,782.80, 4,175.82 and 1,139.19

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Solution

The fourth proportional to 2,782.80, 4,175.82 and 1,139.19 is: 1,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.80 : 4,175.82 = 1,139.19 : x
  2. Step 2: Convert to fraction form
    2,782.80/4,175.82 = 1,139.19/x
  3. Step 3: Cross multiply
    2,782.80x = 4,175.82 × 1,139.19
  4. Step 4: Simplify right side
    2,782.80x = 4,757,052.39
  5. Step 5: Solve for x
    x = 4,757,052.39/2,782.80
  6. Step 6: Final answer
    x = 1,709.45

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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.