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Finding the Fourth Proportional to 3,181.98, 4,769.08 and 1,866.39

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Solution

The fourth proportional to 3,181.98, 4,769.08 and 1,866.39 is: 2,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.98 : 4,769.08 = 1,866.39 : x
  2. Step 2: Convert to fraction form
    3,181.98/4,769.08 = 1,866.39/x
  3. Step 3: Cross multiply
    3,181.98x = 4,769.08 × 1,866.39
  4. Step 4: Simplify right side
    3,181.98x = 8,900,967.50
  5. Step 5: Solve for x
    x = 8,900,967.50/3,181.98
  6. Step 6: Final answer
    x = 2,797.30

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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.