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Finding the Fourth Proportional to 2,046.81, 3,068.37 and 814.95

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Solution

The fourth proportional to 2,046.81, 3,068.37 and 814.95 is: 1,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.81 : 3,068.37 = 814.95 : x
  2. Step 2: Convert to fraction form
    2,046.81/3,068.37 = 814.95/x
  3. Step 3: Cross multiply
    2,046.81x = 3,068.37 × 814.95
  4. Step 4: Simplify right side
    2,046.81x = 2,500,568.13
  5. Step 5: Solve for x
    x = 2,500,568.13/2,046.81
  6. Step 6: Final answer
    x = 1,221.69

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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.