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Finding the Fourth Proportional to 2,797.71, 4,196.49 and 1,153.11

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Solution

The fourth proportional to 2,797.71, 4,196.49 and 1,153.11 is: 1,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.71 : 4,196.49 = 1,153.11 : x
  2. Step 2: Convert to fraction form
    2,797.71/4,196.49 = 1,153.11/x
  3. Step 3: Cross multiply
    2,797.71x = 4,196.49 × 1,153.11
  4. Step 4: Simplify right side
    2,797.71x = 4,839,014.58
  5. Step 5: Solve for x
    x = 4,839,014.58/2,797.71
  6. Step 6: Final answer
    x = 1,729.63

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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.