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Finding the Fourth Proportional to 2,626.96, 3,938.06 and 1,311.12

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Solution

The fourth proportional to 2,626.96, 3,938.06 and 1,311.12 is: 1,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.96 : 3,938.06 = 1,311.12 : x
  2. Step 2: Convert to fraction form
    2,626.96/3,938.06 = 1,311.12/x
  3. Step 3: Cross multiply
    2,626.96x = 3,938.06 × 1,311.12
  4. Step 4: Simplify right side
    2,626.96x = 5,163,242.98
  5. Step 5: Solve for x
    x = 5,163,242.98/2,626.96
  6. Step 6: Final answer
    x = 1,965.48

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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.