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Finding the Fourth Proportional to 2,647.01, 3,969.07 and 1,260.65

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Solution

The fourth proportional to 2,647.01, 3,969.07 and 1,260.65 is: 1,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.01 : 3,969.07 = 1,260.65 : x
  2. Step 2: Convert to fraction form
    2,647.01/3,969.07 = 1,260.65/x
  3. Step 3: Cross multiply
    2,647.01x = 3,969.07 × 1,260.65
  4. Step 4: Simplify right side
    2,647.01x = 5,003,614.87
  5. Step 5: Solve for x
    x = 5,003,614.87/2,647.01
  6. Step 6: Final answer
    x = 1,890.29

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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.