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Finding the Fourth Proportional to 2,694.20, 4,041.18 and 845.02

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Solution

The fourth proportional to 2,694.20, 4,041.18 and 845.02 is: 1,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.20 : 4,041.18 = 845.02 : x
  2. Step 2: Convert to fraction form
    2,694.20/4,041.18 = 845.02/x
  3. Step 3: Cross multiply
    2,694.20x = 4,041.18 × 845.02
  4. Step 4: Simplify right side
    2,694.20x = 3,414,877.92
  5. Step 5: Solve for x
    x = 3,414,877.92/2,694.20
  6. Step 6: Final answer
    x = 1,267.49

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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.