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Finding the Fourth Proportional to 2,216.22, 3,323.40 and 755.46

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Solution

The fourth proportional to 2,216.22, 3,323.40 and 755.46 is: 1,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.22 : 3,323.40 = 755.46 : x
  2. Step 2: Convert to fraction form
    2,216.22/3,323.40 = 755.46/x
  3. Step 3: Cross multiply
    2,216.22x = 3,323.40 × 755.46
  4. Step 4: Simplify right side
    2,216.22x = 2,510,695.76
  5. Step 5: Solve for x
    x = 2,510,695.76/2,216.22
  6. Step 6: Final answer
    x = 1,132.87

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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.