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Finding the Fourth Proportional to 2,330.32, 3,494.55 and 943.39

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Solution

The fourth proportional to 2,330.32, 3,494.55 and 943.39 is: 1,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.32 : 3,494.55 = 943.39 : x
  2. Step 2: Convert to fraction form
    2,330.32/3,494.55 = 943.39/x
  3. Step 3: Cross multiply
    2,330.32x = 3,494.55 × 943.39
  4. Step 4: Simplify right side
    2,330.32x = 3,296,723.52
  5. Step 5: Solve for x
    x = 3,296,723.52/2,330.32
  6. Step 6: Final answer
    x = 1,414.71

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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.