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Finding the Fourth Proportional to 2,166.12, 3,246.62 and 995.14

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Solution

The fourth proportional to 2,166.12, 3,246.62 and 995.14 is: 1,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.12 : 3,246.62 = 995.14 : x
  2. Step 2: Convert to fraction form
    2,166.12/3,246.62 = 995.14/x
  3. Step 3: Cross multiply
    2,166.12x = 3,246.62 × 995.14
  4. Step 4: Simplify right side
    2,166.12x = 3,230,841.43
  5. Step 5: Solve for x
    x = 3,230,841.43/2,166.12
  6. Step 6: Final answer
    x = 1,491.53

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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.