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Finding the Fourth Proportional to 2,305.64, 3,461.96 and 2,230.85

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Solution

The fourth proportional to 2,305.64, 3,461.96 and 2,230.85 is: 3,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.64 : 3,461.96 = 2,230.85 : x
  2. Step 2: Convert to fraction form
    2,305.64/3,461.96 = 2,230.85/x
  3. Step 3: Cross multiply
    2,305.64x = 3,461.96 × 2,230.85
  4. Step 4: Simplify right side
    2,305.64x = 7,723,101.73
  5. Step 5: Solve for x
    x = 7,723,101.73/2,305.64
  6. Step 6: Final answer
    x = 3,349.66

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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.