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Finding the Fourth Proportional to 2,234.70, 3,358.08 and 1,195.43

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Solution

The fourth proportional to 2,234.70, 3,358.08 and 1,195.43 is: 1,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.70 : 3,358.08 = 1,195.43 : x
  2. Step 2: Convert to fraction form
    2,234.70/3,358.08 = 1,195.43/x
  3. Step 3: Cross multiply
    2,234.70x = 3,358.08 × 1,195.43
  4. Step 4: Simplify right side
    2,234.70x = 4,014,332.78
  5. Step 5: Solve for x
    x = 4,014,332.78/2,234.70
  6. Step 6: Final answer
    x = 1,796.36

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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.