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Finding the Fourth Proportional to 2,778.75, 4,168.41 and 929.19

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Solution

The fourth proportional to 2,778.75, 4,168.41 and 929.19 is: 1,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.75 : 4,168.41 = 929.19 : x
  2. Step 2: Convert to fraction form
    2,778.75/4,168.41 = 929.19/x
  3. Step 3: Cross multiply
    2,778.75x = 4,168.41 × 929.19
  4. Step 4: Simplify right side
    2,778.75x = 3,873,244.89
  5. Step 5: Solve for x
    x = 3,873,244.89/2,778.75
  6. Step 6: Final answer
    x = 1,393.88

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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.