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Finding the Fourth Proportional to 3,203.66, 4,807.92 and 2,161.19

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Solution

The fourth proportional to 3,203.66, 4,807.92 and 2,161.19 is: 3,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.66 : 4,807.92 = 2,161.19 : x
  2. Step 2: Convert to fraction form
    3,203.66/4,807.92 = 2,161.19/x
  3. Step 3: Cross multiply
    3,203.66x = 4,807.92 × 2,161.19
  4. Step 4: Simplify right side
    3,203.66x = 10,390,848.75
  5. Step 5: Solve for x
    x = 10,390,848.75/3,203.66
  6. Step 6: Final answer
    x = 3,243.43

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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.