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Finding the Fourth Proportional to 2,794.64, 4,192.37 and 945.26

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Solution

The fourth proportional to 2,794.64, 4,192.37 and 945.26 is: 1,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.64 : 4,192.37 = 945.26 : x
  2. Step 2: Convert to fraction form
    2,794.64/4,192.37 = 945.26/x
  3. Step 3: Cross multiply
    2,794.64x = 4,192.37 × 945.26
  4. Step 4: Simplify right side
    2,794.64x = 3,962,879.67
  5. Step 5: Solve for x
    x = 3,962,879.67/2,794.64
  6. Step 6: Final answer
    x = 1,418.03

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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.