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Finding the Fourth Proportional to 2,247.02, 3,350.74 and 2,091.20

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Solution

The fourth proportional to 2,247.02, 3,350.74 and 2,091.20 is: 3,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.02 : 3,350.74 = 2,091.20 : x
  2. Step 2: Convert to fraction form
    2,247.02/3,350.74 = 2,091.20/x
  3. Step 3: Cross multiply
    2,247.02x = 3,350.74 × 2,091.20
  4. Step 4: Simplify right side
    2,247.02x = 7,007,067.49
  5. Step 5: Solve for x
    x = 7,007,067.49/2,247.02
  6. Step 6: Final answer
    x = 3,118.38

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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.