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Finding the Fourth Proportional to 2,216.28, 3,323.22 and 810.12

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Solution

The fourth proportional to 2,216.28, 3,323.22 and 810.12 is: 1,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.28 : 3,323.22 = 810.12 : x
  2. Step 2: Convert to fraction form
    2,216.28/3,323.22 = 810.12/x
  3. Step 3: Cross multiply
    2,216.28x = 3,323.22 × 810.12
  4. Step 4: Simplify right side
    2,216.28x = 2,692,206.99
  5. Step 5: Solve for x
    x = 2,692,206.99/2,216.28
  6. Step 6: Final answer
    x = 1,214.74

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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.