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Finding the Fourth Proportional to 2,626.10, 3,939.14 and 777.23

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Solution

The fourth proportional to 2,626.10, 3,939.14 and 777.23 is: 1,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.10 : 3,939.14 = 777.23 : x
  2. Step 2: Convert to fraction form
    2,626.10/3,939.14 = 777.23/x
  3. Step 3: Cross multiply
    2,626.10x = 3,939.14 × 777.23
  4. Step 4: Simplify right side
    2,626.10x = 3,061,614.80
  5. Step 5: Solve for x
    x = 3,061,614.80/2,626.10
  6. Step 6: Final answer
    x = 1,165.84

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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.