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Finding the Fourth Proportional to 2,561.85, 3,844.26 and 1,080.98

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Solution

The fourth proportional to 2,561.85, 3,844.26 and 1,080.98 is: 1,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.85 : 3,844.26 = 1,080.98 : x
  2. Step 2: Convert to fraction form
    2,561.85/3,844.26 = 1,080.98/x
  3. Step 3: Cross multiply
    2,561.85x = 3,844.26 × 1,080.98
  4. Step 4: Simplify right side
    2,561.85x = 4,155,548.95
  5. Step 5: Solve for x
    x = 4,155,548.95/2,561.85
  6. Step 6: Final answer
    x = 1,622.09

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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.