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Finding the Fourth Proportional to 3,303.82, 4,952.22 and 1,222.48

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Solution

The fourth proportional to 3,303.82, 4,952.22 and 1,222.48 is: 1,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.82 : 4,952.22 = 1,222.48 : x
  2. Step 2: Convert to fraction form
    3,303.82/4,952.22 = 1,222.48/x
  3. Step 3: Cross multiply
    3,303.82x = 4,952.22 × 1,222.48
  4. Step 4: Simplify right side
    3,303.82x = 6,053,989.91
  5. Step 5: Solve for x
    x = 6,053,989.91/3,303.82
  6. Step 6: Final answer
    x = 1,832.42

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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.