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Finding the Fourth Proportional to 2,067.84, 2,853.60 and 1,136.34

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Solution

The fourth proportional to 2,067.84, 2,853.60 and 1,136.34 is: 1,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.84 : 2,853.60 = 1,136.34 : x
  2. Step 2: Convert to fraction form
    2,067.84/2,853.60 = 1,136.34/x
  3. Step 3: Cross multiply
    2,067.84x = 2,853.60 × 1,136.34
  4. Step 4: Simplify right side
    2,067.84x = 3,242,659.82
  5. Step 5: Solve for x
    x = 3,242,659.82/2,067.84
  6. Step 6: Final answer
    x = 1,568.14

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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.