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Finding the Fourth Proportional to 3,184.91, 4,777.35 and 1,797.62

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Solution

The fourth proportional to 3,184.91, 4,777.35 and 1,797.62 is: 2,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.91 : 4,777.35 = 1,797.62 : x
  2. Step 2: Convert to fraction form
    3,184.91/4,777.35 = 1,797.62/x
  3. Step 3: Cross multiply
    3,184.91x = 4,777.35 × 1,797.62
  4. Step 4: Simplify right side
    3,184.91x = 8,587,836.02
  5. Step 5: Solve for x
    x = 8,587,836.02/3,184.91
  6. Step 6: Final answer
    x = 2,696.42

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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.