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Finding the Fourth Proportional to 2,797.91, 4,197.74 and 1,154.59

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Solution

The fourth proportional to 2,797.91, 4,197.74 and 1,154.59 is: 1,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.91 : 4,197.74 = 1,154.59 : x
  2. Step 2: Convert to fraction form
    2,797.91/4,197.74 = 1,154.59/x
  3. Step 3: Cross multiply
    2,797.91x = 4,197.74 × 1,154.59
  4. Step 4: Simplify right side
    2,797.91x = 4,846,662.85
  5. Step 5: Solve for x
    x = 4,846,662.85/2,797.91
  6. Step 6: Final answer
    x = 1,732.24

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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.