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Finding the Fourth Proportional to 2,694.38, 4,041.56 and 845.64

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Solution

The fourth proportional to 2,694.38, 4,041.56 and 845.64 is: 1,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.38 : 4,041.56 = 845.64 : x
  2. Step 2: Convert to fraction form
    2,694.38/4,041.56 = 845.64/x
  3. Step 3: Cross multiply
    2,694.38x = 4,041.56 × 845.64
  4. Step 4: Simplify right side
    2,694.38x = 3,417,704.80
  5. Step 5: Solve for x
    x = 3,417,704.80/2,694.38
  6. Step 6: Final answer
    x = 1,268.46

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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.