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Finding the Fourth Proportional to 2,794.33, 4,191.36 and 945.52

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Solution

The fourth proportional to 2,794.33, 4,191.36 and 945.52 is: 1,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.33 : 4,191.36 = 945.52 : x
  2. Step 2: Convert to fraction form
    2,794.33/4,191.36 = 945.52/x
  3. Step 3: Cross multiply
    2,794.33x = 4,191.36 × 945.52
  4. Step 4: Simplify right side
    2,794.33x = 3,963,014.71
  5. Step 5: Solve for x
    x = 3,963,014.71/2,794.33
  6. Step 6: Final answer
    x = 1,418.23

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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.