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Finding the Fourth Proportional to 3,182.10, 4,773.14 and 1,794.80

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Solution

The fourth proportional to 3,182.10, 4,773.14 and 1,794.80 is: 2,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.10 : 4,773.14 = 1,794.80 : x
  2. Step 2: Convert to fraction form
    3,182.10/4,773.14 = 1,794.80/x
  3. Step 3: Cross multiply
    3,182.10x = 4,773.14 × 1,794.80
  4. Step 4: Simplify right side
    3,182.10x = 8,566,841.36
  5. Step 5: Solve for x
    x = 8,566,841.36/3,182.10
  6. Step 6: Final answer
    x = 2,692.20

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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.