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Finding the Fourth Proportional to 2,694.46, 4,041.75 and 845.54

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Solution

The fourth proportional to 2,694.46, 4,041.75 and 845.54 is: 1,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.46 : 4,041.75 = 845.54 : x
  2. Step 2: Convert to fraction form
    2,694.46/4,041.75 = 845.54/x
  3. Step 3: Cross multiply
    2,694.46x = 4,041.75 × 845.54
  4. Step 4: Simplify right side
    2,694.46x = 3,417,461.30
  5. Step 5: Solve for x
    x = 3,417,461.30/2,694.46
  6. Step 6: Final answer
    x = 1,268.33

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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.