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Finding the Fourth Proportional to 2,561.21, 3,841.30 and 711.78

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Solution

The fourth proportional to 2,561.21, 3,841.30 and 711.78 is: 1,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.21 : 3,841.30 = 711.78 : x
  2. Step 2: Convert to fraction form
    2,561.21/3,841.30 = 711.78/x
  3. Step 3: Cross multiply
    2,561.21x = 3,841.30 × 711.78
  4. Step 4: Simplify right side
    2,561.21x = 2,734,160.51
  5. Step 5: Solve for x
    x = 2,734,160.51/2,561.21
  6. Step 6: Final answer
    x = 1,067.53

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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.