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Finding the Fourth Proportional to 2,009.82, 2,773.57 and 1,125.62

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Solution

The fourth proportional to 2,009.82, 2,773.57 and 1,125.62 is: 1,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.82 : 2,773.57 = 1,125.62 : x
  2. Step 2: Convert to fraction form
    2,009.82/2,773.57 = 1,125.62/x
  3. Step 3: Cross multiply
    2,009.82x = 2,773.57 × 1,125.62
  4. Step 4: Simplify right side
    2,009.82x = 3,121,997.29
  5. Step 5: Solve for x
    x = 3,121,997.29/2,009.82
  6. Step 6: Final answer
    x = 1,553.37

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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.