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Finding the Fourth Proportional to 3,429.54, 4,732.83 and 2,033.10

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Solution

The fourth proportional to 3,429.54, 4,732.83 and 2,033.10 is: 2,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.54 : 4,732.83 = 2,033.10 : x
  2. Step 2: Convert to fraction form
    3,429.54/4,732.83 = 2,033.10/x
  3. Step 3: Cross multiply
    3,429.54x = 4,732.83 × 2,033.10
  4. Step 4: Simplify right side
    3,429.54x = 9,622,316.67
  5. Step 5: Solve for x
    x = 9,622,316.67/3,429.54
  6. Step 6: Final answer
    x = 2,805.72

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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.