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Finding the Fourth Proportional to 2,626.42, 3,939.61 and 777.54

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Solution

The fourth proportional to 2,626.42, 3,939.61 and 777.54 is: 1,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.42 : 3,939.61 = 777.54 : x
  2. Step 2: Convert to fraction form
    2,626.42/3,939.61 = 777.54/x
  3. Step 3: Cross multiply
    2,626.42x = 3,939.61 × 777.54
  4. Step 4: Simplify right side
    2,626.42x = 3,063,204.36
  5. Step 5: Solve for x
    x = 3,063,204.36/2,626.42
  6. Step 6: Final answer
    x = 1,166.31

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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.