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Finding the Fourth Proportional to 2,694.53, 4,041.79 and 845.78

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Solution

The fourth proportional to 2,694.53, 4,041.79 and 845.78 is: 1,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.53 : 4,041.79 = 845.78 : x
  2. Step 2: Convert to fraction form
    2,694.53/4,041.79 = 845.78/x
  3. Step 3: Cross multiply
    2,694.53x = 4,041.79 × 845.78
  4. Step 4: Simplify right side
    2,694.53x = 3,418,473.14
  5. Step 5: Solve for x
    x = 3,418,473.14/2,694.53
  6. Step 6: Final answer
    x = 1,268.67

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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.