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Finding the Fourth Proportional to 2,348.79, 3,241.37 and 1,286.53

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Solution

The fourth proportional to 2,348.79, 3,241.37 and 1,286.53 is: 1,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.79 : 3,241.37 = 1,286.53 : x
  2. Step 2: Convert to fraction form
    2,348.79/3,241.37 = 1,286.53/x
  3. Step 3: Cross multiply
    2,348.79x = 3,241.37 × 1,286.53
  4. Step 4: Simplify right side
    2,348.79x = 4,170,125.85
  5. Step 5: Solve for x
    x = 4,170,125.85/2,348.79
  6. Step 6: Final answer
    x = 1,775.43

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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.