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Finding the Fourth Proportional to 2,292.68, 3,163.48 and 1,348.52

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Solution

The fourth proportional to 2,292.68, 3,163.48 and 1,348.52 is: 1,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.68 : 3,163.48 = 1,348.52 : x
  2. Step 2: Convert to fraction form
    2,292.68/3,163.48 = 1,348.52/x
  3. Step 3: Cross multiply
    2,292.68x = 3,163.48 × 1,348.52
  4. Step 4: Simplify right side
    2,292.68x = 4,266,016.05
  5. Step 5: Solve for x
    x = 4,266,016.05/2,292.68
  6. Step 6: Final answer
    x = 1,860.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.