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Finding the Fourth Proportional to 3,194.64, 4,794.12 and 1,551.24

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Solution

The fourth proportional to 3,194.64, 4,794.12 and 1,551.24 is: 2,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.64 : 4,794.12 = 1,551.24 : x
  2. Step 2: Convert to fraction form
    3,194.64/4,794.12 = 1,551.24/x
  3. Step 3: Cross multiply
    3,194.64x = 4,794.12 × 1,551.24
  4. Step 4: Simplify right side
    3,194.64x = 7,436,830.71
  5. Step 5: Solve for x
    x = 7,436,830.71/3,194.64
  6. Step 6: Final answer
    x = 2,327.91

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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.