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Finding the Fourth Proportional to 2,234.27, 3,351.34 and 590.83

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Solution

The fourth proportional to 2,234.27, 3,351.34 and 590.83 is: 886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.27 : 3,351.34 = 590.83 : x
  2. Step 2: Convert to fraction form
    2,234.27/3,351.34 = 590.83/x
  3. Step 3: Cross multiply
    2,234.27x = 3,351.34 × 590.83
  4. Step 4: Simplify right side
    2,234.27x = 1,980,076.22
  5. Step 5: Solve for x
    x = 1,980,076.22/2,234.27
  6. Step 6: Final answer
    x = 886.23

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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.