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Finding the Fourth Proportional to 2,009.31, 2,773.77 and 1,169.70

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Solution

The fourth proportional to 2,009.31, 2,773.77 and 1,169.70 is: 1,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.31 : 2,773.77 = 1,169.70 : x
  2. Step 2: Convert to fraction form
    2,009.31/2,773.77 = 1,169.70/x
  3. Step 3: Cross multiply
    2,009.31x = 2,773.77 × 1,169.70
  4. Step 4: Simplify right side
    2,009.31x = 3,244,478.77
  5. Step 5: Solve for x
    x = 3,244,478.77/2,009.31
  6. Step 6: Final answer
    x = 1,614.72

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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.