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Finding the Fourth Proportional to 2,008.02, 2,770.96 and 1,123.66

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Solution

The fourth proportional to 2,008.02, 2,770.96 and 1,123.66 is: 1,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.02 : 2,770.96 = 1,123.66 : x
  2. Step 2: Convert to fraction form
    2,008.02/2,770.96 = 1,123.66/x
  3. Step 3: Cross multiply
    2,008.02x = 2,770.96 × 1,123.66
  4. Step 4: Simplify right side
    2,008.02x = 3,113,616.91
  5. Step 5: Solve for x
    x = 3,113,616.91/2,008.02
  6. Step 6: Final answer
    x = 1,550.59

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