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Finding the Fourth Proportional to 2,046.07, 3,068.05 and 729.33

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Solution

The fourth proportional to 2,046.07, 3,068.05 and 729.33 is: 1,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.07 : 3,068.05 = 729.33 : x
  2. Step 2: Convert to fraction form
    2,046.07/3,068.05 = 729.33/x
  3. Step 3: Cross multiply
    2,046.07x = 3,068.05 × 729.33
  4. Step 4: Simplify right side
    2,046.07x = 2,237,620.91
  5. Step 5: Solve for x
    x = 2,237,620.91/2,046.07
  6. Step 6: Final answer
    x = 1,093.62

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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.