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Finding the Fourth Proportional to 2,046.94, 2,824.81 and 1,115.44

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Solution

The fourth proportional to 2,046.94, 2,824.81 and 1,115.44 is: 1,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 2,824.81 = 1,115.44 : x
  2. Step 2: Convert to fraction form
    2,046.94/2,824.81 = 1,115.44/x
  3. Step 3: Cross multiply
    2,046.94x = 2,824.81 × 1,115.44
  4. Step 4: Simplify right side
    2,046.94x = 3,150,896.22
  5. Step 5: Solve for x
    x = 3,150,896.22/2,046.94
  6. Step 6: Final answer
    x = 1,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.