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Finding the Fourth Proportional to 2,046.57, 3,068.79 and 729.83

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Solution

The fourth proportional to 2,046.57, 3,068.79 and 729.83 is: 1,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.57 : 3,068.79 = 729.83 : x
  2. Step 2: Convert to fraction form
    2,046.57/3,068.79 = 729.83/x
  3. Step 3: Cross multiply
    2,046.57x = 3,068.79 × 729.83
  4. Step 4: Simplify right side
    2,046.57x = 2,239,679.66
  5. Step 5: Solve for x
    x = 2,239,679.66/2,046.57
  6. Step 6: Final answer
    x = 1,094.36

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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.