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Finding the Fourth Proportional to 2,775.42, 4,163.58 and 1,296.12

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Solution

The fourth proportional to 2,775.42, 4,163.58 and 1,296.12 is: 1,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.42 : 4,163.58 = 1,296.12 : x
  2. Step 2: Convert to fraction form
    2,775.42/4,163.58 = 1,296.12/x
  3. Step 3: Cross multiply
    2,775.42x = 4,163.58 × 1,296.12
  4. Step 4: Simplify right side
    2,775.42x = 5,396,499.31
  5. Step 5: Solve for x
    x = 5,396,499.31/2,775.42
  6. Step 6: Final answer
    x = 1,944.39

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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.