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Finding the Fourth Proportional to 2,033.58, 3,046.12 and 1,299.42

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Solution

The fourth proportional to 2,033.58, 3,046.12 and 1,299.42 is: 1,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.58 : 3,046.12 = 1,299.42 : x
  2. Step 2: Convert to fraction form
    2,033.58/3,046.12 = 1,299.42/x
  3. Step 3: Cross multiply
    2,033.58x = 3,046.12 × 1,299.42
  4. Step 4: Simplify right side
    2,033.58x = 3,958,189.25
  5. Step 5: Solve for x
    x = 3,958,189.25/2,033.58
  6. Step 6: Final answer
    x = 1,946.41

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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.