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Finding the Fourth Proportional to 2,310.12, 3,463.05 and 923.20

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Solution

The fourth proportional to 2,310.12, 3,463.05 and 923.20 is: 1,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.12 : 3,463.05 = 923.20 : x
  2. Step 2: Convert to fraction form
    2,310.12/3,463.05 = 923.20/x
  3. Step 3: Cross multiply
    2,310.12x = 3,463.05 × 923.20
  4. Step 4: Simplify right side
    2,310.12x = 3,197,082.56
  5. Step 5: Solve for x
    x = 3,197,082.56/2,310.12
  6. Step 6: Final answer
    x = 1,383.95

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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.