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Finding the Fourth Proportional to 2,217.08, 3,323.56 and 755.22

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Solution

The fourth proportional to 2,217.08, 3,323.56 and 755.22 is: 1,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.08 : 3,323.56 = 755.22 : x
  2. Step 2: Convert to fraction form
    2,217.08/3,323.56 = 755.22/x
  3. Step 3: Cross multiply
    2,217.08x = 3,323.56 × 755.22
  4. Step 4: Simplify right side
    2,217.08x = 2,510,018.98
  5. Step 5: Solve for x
    x = 2,510,018.98/2,217.08
  6. Step 6: Final answer
    x = 1,132.13

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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.