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Finding the Fourth Proportional to 2,626.94, 3,939.21 and 777.40

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Solution

The fourth proportional to 2,626.94, 3,939.21 and 777.40 is: 1,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.94 : 3,939.21 = 777.40 : x
  2. Step 2: Convert to fraction form
    2,626.94/3,939.21 = 777.40/x
  3. Step 3: Cross multiply
    2,626.94x = 3,939.21 × 777.40
  4. Step 4: Simplify right side
    2,626.94x = 3,062,332.01
  5. Step 5: Solve for x
    x = 3,062,332.01/2,626.94
  6. Step 6: Final answer
    x = 1,165.74

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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.