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Finding the Fourth Proportional to 2,694.39, 4,041.75 and 845.58

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Solution

The fourth proportional to 2,694.39, 4,041.75 and 845.58 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.39 : 4,041.75 = 845.58 : x
  2. Step 2: Convert to fraction form
    2,694.39/4,041.75 = 845.58/x
  3. Step 3: Cross multiply
    2,694.39x = 4,041.75 × 845.58
  4. Step 4: Simplify right side
    2,694.39x = 3,417,616.05
  5. Step 5: Solve for x
    x = 3,417,616.05/2,694.39
  6. Step 6: Final answer
    x = 1,268.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.