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Finding the Fourth Proportional to 2,342.80, 3,233.04 and 1,348.24

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Solution

The fourth proportional to 2,342.80, 3,233.04 and 1,348.24 is: 1,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.80 : 3,233.04 = 1,348.24 : x
  2. Step 2: Convert to fraction form
    2,342.80/3,233.04 = 1,348.24/x
  3. Step 3: Cross multiply
    2,342.80x = 3,233.04 × 1,348.24
  4. Step 4: Simplify right side
    2,342.80x = 4,358,913.85
  5. Step 5: Solve for x
    x = 4,358,913.85/2,342.80
  6. Step 6: Final answer
    x = 1,860.56

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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.