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Finding the Fourth Proportional to 2,720.82, 4,075.11 and 1,257.78

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Solution

The fourth proportional to 2,720.82, 4,075.11 and 1,257.78 is: 1,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.82 : 4,075.11 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    2,720.82/4,075.11 = 1,257.78/x
  3. Step 3: Cross multiply
    2,720.82x = 4,075.11 × 1,257.78
  4. Step 4: Simplify right side
    2,720.82x = 5,125,591.86
  5. Step 5: Solve for x
    x = 5,125,591.86/2,720.82
  6. Step 6: Final answer
    x = 1,883.84

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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.