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Finding the Fourth Proportional to 2,723.59, 4,082.94 and 991

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Solution

The fourth proportional to 2,723.59, 4,082.94 and 991 is: 1,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.59 : 4,082.94 = 991 : x
  2. Step 2: Convert to fraction form
    2,723.59/4,082.94 = 991/x
  3. Step 3: Cross multiply
    2,723.59x = 4,082.94 × 991
  4. Step 4: Simplify right side
    2,723.59x = 4,046,193.54
  5. Step 5: Solve for x
    x = 4,046,193.54/2,723.59
  6. Step 6: Final answer
    x = 1,485.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.