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Finding the Fourth Proportional to 2,641.50, 3,958.74 and 2,057.22

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Solution

The fourth proportional to 2,641.50, 3,958.74 and 2,057.22 is: 3,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.50 : 3,958.74 = 2,057.22 : x
  2. Step 2: Convert to fraction form
    2,641.50/3,958.74 = 2,057.22/x
  3. Step 3: Cross multiply
    2,641.50x = 3,958.74 × 2,057.22
  4. Step 4: Simplify right side
    2,641.50x = 8,143,999.10
  5. Step 5: Solve for x
    x = 8,143,999.10/2,641.50
  6. Step 6: Final answer
    x = 3,083.10

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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.