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Finding the Fourth Proportional to 3,230.52, 4,845.79 and 890.56

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Solution

The fourth proportional to 3,230.52, 4,845.79 and 890.56 is: 1,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.52 : 4,845.79 = 890.56 : x
  2. Step 2: Convert to fraction form
    3,230.52/4,845.79 = 890.56/x
  3. Step 3: Cross multiply
    3,230.52x = 4,845.79 × 890.56
  4. Step 4: Simplify right side
    3,230.52x = 4,315,473.91
  5. Step 5: Solve for x
    x = 4,315,473.91/3,230.52
  6. Step 6: Final answer
    x = 1,335.85

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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.