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Finding the Fourth Proportional to 2,694.10, 4,041.18 and 845.08

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Solution

The fourth proportional to 2,694.10, 4,041.18 and 845.08 is: 1,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.10 : 4,041.18 = 845.08 : x
  2. Step 2: Convert to fraction form
    2,694.10/4,041.18 = 845.08/x
  3. Step 3: Cross multiply
    2,694.10x = 4,041.18 × 845.08
  4. Step 4: Simplify right side
    2,694.10x = 3,415,120.39
  5. Step 5: Solve for x
    x = 3,415,120.39/2,694.10
  6. Step 6: Final answer
    x = 1,267.63

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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.