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Finding the Fourth Proportional to 2,571.13, 3,856.67 and 816.30

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Solution

The fourth proportional to 2,571.13, 3,856.67 and 816.30 is: 1,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.13 : 3,856.67 = 816.30 : x
  2. Step 2: Convert to fraction form
    2,571.13/3,856.67 = 816.30/x
  3. Step 3: Cross multiply
    2,571.13x = 3,856.67 × 816.30
  4. Step 4: Simplify right side
    2,571.13x = 3,148,199.72
  5. Step 5: Solve for x
    x = 3,148,199.72/2,571.13
  6. Step 6: Final answer
    x = 1,224.44

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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.