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Finding the Fourth Proportional to 2,046.42, 3,069.59 and 892.17

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Solution

The fourth proportional to 2,046.42, 3,069.59 and 892.17 is: 1,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.42 : 3,069.59 = 892.17 : x
  2. Step 2: Convert to fraction form
    2,046.42/3,069.59 = 892.17/x
  3. Step 3: Cross multiply
    2,046.42x = 3,069.59 × 892.17
  4. Step 4: Simplify right side
    2,046.42x = 2,738,591.65
  5. Step 5: Solve for x
    x = 2,738,591.65/2,046.42
  6. Step 6: Final answer
    x = 1,338.24

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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.