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Finding the Fourth Proportional to 2,794.42, 4,186.26 and 1,404.36

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Solution

The fourth proportional to 2,794.42, 4,186.26 and 1,404.36 is: 2,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.42 : 4,186.26 = 1,404.36 : x
  2. Step 2: Convert to fraction form
    2,794.42/4,186.26 = 1,404.36/x
  3. Step 3: Cross multiply
    2,794.42x = 4,186.26 × 1,404.36
  4. Step 4: Simplify right side
    2,794.42x = 5,879,016.09
  5. Step 5: Solve for x
    x = 5,879,016.09/2,794.42
  6. Step 6: Final answer
    x = 2,103.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.