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Finding the Fourth Proportional to 2,348.75, 3,241.16 and 1,286.52

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Solution

The fourth proportional to 2,348.75, 3,241.16 and 1,286.52 is: 1,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.75 : 3,241.16 = 1,286.52 : x
  2. Step 2: Convert to fraction form
    2,348.75/3,241.16 = 1,286.52/x
  3. Step 3: Cross multiply
    2,348.75x = 3,241.16 × 1,286.52
  4. Step 4: Simplify right side
    2,348.75x = 4,169,807.07
  5. Step 5: Solve for x
    x = 4,169,807.07/2,348.75
  6. Step 6: Final answer
    x = 1,775.33

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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.