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Finding the Fourth Proportional to 2,626.08, 3,939.80 and 777.27

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Solution

The fourth proportional to 2,626.08, 3,939.80 and 777.27 is: 1,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.08 : 3,939.80 = 777.27 : x
  2. Step 2: Convert to fraction form
    2,626.08/3,939.80 = 777.27/x
  3. Step 3: Cross multiply
    2,626.08x = 3,939.80 × 777.27
  4. Step 4: Simplify right side
    2,626.08x = 3,062,284.46
  5. Step 5: Solve for x
    x = 3,062,284.46/2,626.08
  6. Step 6: Final answer
    x = 1,166.10

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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.