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Finding the Fourth Proportional to 2,626.68, 3,940.38 and 1,165.80

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Solution

The fourth proportional to 2,626.68, 3,940.38 and 1,165.80 is: 1,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.68 : 3,940.38 = 1,165.80 : x
  2. Step 2: Convert to fraction form
    2,626.68/3,940.38 = 1,165.80/x
  3. Step 3: Cross multiply
    2,626.68x = 3,940.38 × 1,165.80
  4. Step 4: Simplify right side
    2,626.68x = 4,593,695.00
  5. Step 5: Solve for x
    x = 4,593,695.00/2,626.68
  6. Step 6: Final answer
    x = 1,748.86

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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.