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Finding the Fourth Proportional to 2,723.16, 4,082.64 and 873.20

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Solution

The fourth proportional to 2,723.16, 4,082.64 and 873.20 is: 1,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.16 : 4,082.64 = 873.20 : x
  2. Step 2: Convert to fraction form
    2,723.16/4,082.64 = 873.20/x
  3. Step 3: Cross multiply
    2,723.16x = 4,082.64 × 873.20
  4. Step 4: Simplify right side
    2,723.16x = 3,564,961.25
  5. Step 5: Solve for x
    x = 3,564,961.25/2,723.16
  6. Step 6: Final answer
    x = 1,309.13

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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.