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Finding the Fourth Proportional to 2,008.06, 2,771.09 and 1,123.90

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Solution

The fourth proportional to 2,008.06, 2,771.09 and 1,123.90 is: 1,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.06 : 2,771.09 = 1,123.90 : x
  2. Step 2: Convert to fraction form
    2,008.06/2,771.09 = 1,123.90/x
  3. Step 3: Cross multiply
    2,008.06x = 2,771.09 × 1,123.90
  4. Step 4: Simplify right side
    2,008.06x = 3,114,428.05
  5. Step 5: Solve for x
    x = 3,114,428.05/2,008.06
  6. Step 6: Final answer
    x = 1,550.96

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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.