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Finding the Fourth Proportional to 2,761.24, 4,122.01 and 2,367

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Solution

The fourth proportional to 2,761.24, 4,122.01 and 2,367 is: 3,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.24 : 4,122.01 = 2,367 : x
  2. Step 2: Convert to fraction form
    2,761.24/4,122.01 = 2,367/x
  3. Step 3: Cross multiply
    2,761.24x = 4,122.01 × 2,367
  4. Step 4: Simplify right side
    2,761.24x = 9,756,797.67
  5. Step 5: Solve for x
    x = 9,756,797.67/2,761.24
  6. Step 6: Final answer
    x = 3,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.