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Finding the Fourth Proportional to 2,626.65, 3,940.62 and 777.77

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Solution

The fourth proportional to 2,626.65, 3,940.62 and 777.77 is: 1,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.65 : 3,940.62 = 777.77 : x
  2. Step 2: Convert to fraction form
    2,626.65/3,940.62 = 777.77/x
  3. Step 3: Cross multiply
    2,626.65x = 3,940.62 × 777.77
  4. Step 4: Simplify right side
    2,626.65x = 3,064,876.31
  5. Step 5: Solve for x
    x = 3,064,876.31/2,626.65
  6. Step 6: Final answer
    x = 1,166.84

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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.