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Finding the Fourth Proportional to 2,233.38, 3,348.86 and 934.55

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Solution

The fourth proportional to 2,233.38, 3,348.86 and 934.55 is: 1,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.38 : 3,348.86 = 934.55 : x
  2. Step 2: Convert to fraction form
    2,233.38/3,348.86 = 934.55/x
  3. Step 3: Cross multiply
    2,233.38x = 3,348.86 × 934.55
  4. Step 4: Simplify right side
    2,233.38x = 3,129,655.70
  5. Step 5: Solve for x
    x = 3,129,655.70/2,233.38
  6. Step 6: Final answer
    x = 1,401.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.