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Finding the Fourth Proportional to 2,323.78, 3,481.66 and 1,444.12

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Solution

The fourth proportional to 2,323.78, 3,481.66 and 1,444.12 is: 2,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.78 : 3,481.66 = 1,444.12 : x
  2. Step 2: Convert to fraction form
    2,323.78/3,481.66 = 1,444.12/x
  3. Step 3: Cross multiply
    2,323.78x = 3,481.66 × 1,444.12
  4. Step 4: Simplify right side
    2,323.78x = 5,027,934.84
  5. Step 5: Solve for x
    x = 5,027,934.84/2,323.78
  6. Step 6: Final answer
    x = 2,163.69

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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.