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Finding the Fourth Proportional to 2,234.84, 3,351.36 and 1,138.82

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Solution

The fourth proportional to 2,234.84, 3,351.36 and 1,138.82 is: 1,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.84 : 3,351.36 = 1,138.82 : x
  2. Step 2: Convert to fraction form
    2,234.84/3,351.36 = 1,138.82/x
  3. Step 3: Cross multiply
    2,234.84x = 3,351.36 × 1,138.82
  4. Step 4: Simplify right side
    2,234.84x = 3,816,595.80
  5. Step 5: Solve for x
    x = 3,816,595.80/2,234.84
  6. Step 6: Final answer
    x = 1,707.77

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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.