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Finding the Fourth Proportional to 2,292.59, 3,163.60 and 1,348.42

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Solution

The fourth proportional to 2,292.59, 3,163.60 and 1,348.42 is: 1,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.59 : 3,163.60 = 1,348.42 : x
  2. Step 2: Convert to fraction form
    2,292.59/3,163.60 = 1,348.42/x
  3. Step 3: Cross multiply
    2,292.59x = 3,163.60 × 1,348.42
  4. Step 4: Simplify right side
    2,292.59x = 4,265,853.64
  5. Step 5: Solve for x
    x = 4,265,853.64/2,292.59
  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.