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Finding the Fourth Proportional to 3,203.59, 4,419.14 and 2,022.61

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Solution

The fourth proportional to 3,203.59, 4,419.14 and 2,022.61 is: 2,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.59 : 4,419.14 = 2,022.61 : x
  2. Step 2: Convert to fraction form
    3,203.59/4,419.14 = 2,022.61/x
  3. Step 3: Cross multiply
    3,203.59x = 4,419.14 × 2,022.61
  4. Step 4: Simplify right side
    3,203.59x = 8,938,186.64
  5. Step 5: Solve for x
    x = 8,938,186.64/3,203.59
  6. Step 6: Final answer
    x = 2,790.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.