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Finding the Fourth Proportional to 2,626.43, 3,939.84 and 777.50

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Solution

The fourth proportional to 2,626.43, 3,939.84 and 777.50 is: 1,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.43 : 3,939.84 = 777.50 : x
  2. Step 2: Convert to fraction form
    2,626.43/3,939.84 = 777.50/x
  3. Step 3: Cross multiply
    2,626.43x = 3,939.84 × 777.50
  4. Step 4: Simplify right side
    2,626.43x = 3,063,220.68
  5. Step 5: Solve for x
    x = 3,063,220.68/2,626.43
  6. Step 6: Final answer
    x = 1,166.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.