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Finding the Fourth Proportional to 2,008.97, 2,771.43 and 1,252.11

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Solution

The fourth proportional to 2,008.97, 2,771.43 and 1,252.11 is: 1,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.97 : 2,771.43 = 1,252.11 : x
  2. Step 2: Convert to fraction form
    2,008.97/2,771.43 = 1,252.11/x
  3. Step 3: Cross multiply
    2,008.97x = 2,771.43 × 1,252.11
  4. Step 4: Simplify right side
    2,008.97x = 3,470,135.22
  5. Step 5: Solve for x
    x = 3,470,135.22/2,008.97
  6. Step 6: Final answer
    x = 1,727.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.