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Finding the Fourth Proportional to 2,626.09, 3,939.81 and 777.13

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Solution

The fourth proportional to 2,626.09, 3,939.81 and 777.13 is: 1,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.09 : 3,939.81 = 777.13 : x
  2. Step 2: Convert to fraction form
    2,626.09/3,939.81 = 777.13/x
  3. Step 3: Cross multiply
    2,626.09x = 3,939.81 × 777.13
  4. Step 4: Simplify right side
    2,626.09x = 3,061,744.55
  5. Step 5: Solve for x
    x = 3,061,744.55/2,626.09
  6. Step 6: Final answer
    x = 1,165.89

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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.