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Finding the Fourth Proportional to 2,019.42, 2,786.81 and 1,135.44

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Solution

The fourth proportional to 2,019.42, 2,786.81 and 1,135.44 is: 1,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.42 : 2,786.81 = 1,135.44 : x
  2. Step 2: Convert to fraction form
    2,019.42/2,786.81 = 1,135.44/x
  3. Step 3: Cross multiply
    2,019.42x = 2,786.81 × 1,135.44
  4. Step 4: Simplify right side
    2,019.42x = 3,164,249.87
  5. Step 5: Solve for x
    x = 3,164,249.87/2,019.42
  6. Step 6: Final answer
    x = 1,566.91

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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.