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Finding the Fourth Proportional to 2,571.38, 3,857.36 and 816.08

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Solution

The fourth proportional to 2,571.38, 3,857.36 and 816.08 is: 1,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.38 : 3,857.36 = 816.08 : x
  2. Step 2: Convert to fraction form
    2,571.38/3,857.36 = 816.08/x
  3. Step 3: Cross multiply
    2,571.38x = 3,857.36 × 816.08
  4. Step 4: Simplify right side
    2,571.38x = 3,147,890.98
  5. Step 5: Solve for x
    x = 3,147,890.98/2,571.38
  6. Step 6: Final answer
    x = 1,224.20

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1.5x scale

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.