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Finding the Fourth Proportional to 3,443.39, 5,165.43 and 1,102.81

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Solution

The fourth proportional to 3,443.39, 5,165.43 and 1,102.81 is: 1,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.39 : 5,165.43 = 1,102.81 : x
  2. Step 2: Convert to fraction form
    3,443.39/5,165.43 = 1,102.81/x
  3. Step 3: Cross multiply
    3,443.39x = 5,165.43 × 1,102.81
  4. Step 4: Simplify right side
    3,443.39x = 5,696,472.19
  5. Step 5: Solve for x
    x = 5,696,472.19/3,443.39
  6. Step 6: Final answer
    x = 1,654.32

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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.