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Finding the Fourth Proportional to 2,571.13, 3,856.53 and 816.10

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Solution

The fourth proportional to 2,571.13, 3,856.53 and 816.10 is: 1,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.13 : 3,856.53 = 816.10 : x
  2. Step 2: Convert to fraction form
    2,571.13/3,856.53 = 816.10/x
  3. Step 3: Cross multiply
    2,571.13x = 3,856.53 × 816.10
  4. Step 4: Simplify right side
    2,571.13x = 3,147,314.13
  5. Step 5: Solve for x
    x = 3,147,314.13/2,571.13
  6. Step 6: Final answer
    x = 1,224.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.