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Finding the Fourth Proportional to 2,234.36, 3,351.56 and 591.14

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Solution

The fourth proportional to 2,234.36, 3,351.56 and 591.14 is: 886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.36 : 3,351.56 = 591.14 : x
  2. Step 2: Convert to fraction form
    2,234.36/3,351.56 = 591.14/x
  3. Step 3: Cross multiply
    2,234.36x = 3,351.56 × 591.14
  4. Step 4: Simplify right side
    2,234.36x = 1,981,241.18
  5. Step 5: Solve for x
    x = 1,981,241.18/2,234.36
  6. Step 6: Final answer
    x = 886.72

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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.