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Finding the Fourth Proportional to 2,009.13, 2,772.45 and 1,169.84

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Solution

The fourth proportional to 2,009.13, 2,772.45 and 1,169.84 is: 1,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.13 : 2,772.45 = 1,169.84 : x
  2. Step 2: Convert to fraction form
    2,009.13/2,772.45 = 1,169.84/x
  3. Step 3: Cross multiply
    2,009.13x = 2,772.45 × 1,169.84
  4. Step 4: Simplify right side
    2,009.13x = 3,243,322.91
  5. Step 5: Solve for x
    x = 3,243,322.91/2,009.13
  6. Step 6: Final answer
    x = 1,614.29

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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.