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Finding the Fourth Proportional to 2,009.84, 2,773.48 and 1,101.33

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Solution

The fourth proportional to 2,009.84, 2,773.48 and 1,101.33 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.84 : 2,773.48 = 1,101.33 : x
  2. Step 2: Convert to fraction form
    2,009.84/2,773.48 = 1,101.33/x
  3. Step 3: Cross multiply
    2,009.84x = 2,773.48 × 1,101.33
  4. Step 4: Simplify right side
    2,009.84x = 3,054,516.73
  5. Step 5: Solve for x
    x = 3,054,516.73/2,009.84
  6. Step 6: Final answer
    x = 1,519.78

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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.