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Finding the Fourth Proportional to 2,234.20, 3,351.57 and 590.76

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Solution

The fourth proportional to 2,234.20, 3,351.57 and 590.76 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.20 : 3,351.57 = 590.76 : x
  2. Step 2: Convert to fraction form
    2,234.20/3,351.57 = 590.76/x
  3. Step 3: Cross multiply
    2,234.20x = 3,351.57 × 590.76
  4. Step 4: Simplify right side
    2,234.20x = 1,979,973.49
  5. Step 5: Solve for x
    x = 1,979,973.49/2,234.20
  6. Step 6: Final answer
    x = 886.21

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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.