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Finding the Fourth Proportional to 2,519.97, 3,775.50 and 2,151.02

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Solution

The fourth proportional to 2,519.97, 3,775.50 and 2,151.02 is: 3,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.97 : 3,775.50 = 2,151.02 : x
  2. Step 2: Convert to fraction form
    2,519.97/3,775.50 = 2,151.02/x
  3. Step 3: Cross multiply
    2,519.97x = 3,775.50 × 2,151.02
  4. Step 4: Simplify right side
    2,519.97x = 8,121,157.13
  5. Step 5: Solve for x
    x = 8,121,157.13/2,519.97
  6. Step 6: Final answer
    x = 3,222.72

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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.