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Finding the Fourth Proportional to 3,238.81, 4,468.22 and 2,043.40

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Solution

The fourth proportional to 3,238.81, 4,468.22 and 2,043.40 is: 2,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.81 : 4,468.22 = 2,043.40 : x
  2. Step 2: Convert to fraction form
    3,238.81/4,468.22 = 2,043.40/x
  3. Step 3: Cross multiply
    3,238.81x = 4,468.22 × 2,043.40
  4. Step 4: Simplify right side
    3,238.81x = 9,130,369.40
  5. Step 5: Solve for x
    x = 9,130,369.40/3,238.81
  6. Step 6: Final answer
    x = 2,819.05

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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.