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Finding the Fourth Proportional to 2,626.76, 3,939.59 and 777.44

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Solution

The fourth proportional to 2,626.76, 3,939.59 and 777.44 is: 1,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.76 : 3,939.59 = 777.44 : x
  2. Step 2: Convert to fraction form
    2,626.76/3,939.59 = 777.44/x
  3. Step 3: Cross multiply
    2,626.76x = 3,939.59 × 777.44
  4. Step 4: Simplify right side
    2,626.76x = 3,062,795.56
  5. Step 5: Solve for x
    x = 3,062,795.56/2,626.76
  6. Step 6: Final answer
    x = 1,166.00

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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.