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Finding the Fourth Proportional to 2,094.11, 3,136.60 and 995.14

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Solution

The fourth proportional to 2,094.11, 3,136.60 and 995.14 is: 1,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.11 : 3,136.60 = 995.14 : x
  2. Step 2: Convert to fraction form
    2,094.11/3,136.60 = 995.14/x
  3. Step 3: Cross multiply
    2,094.11x = 3,136.60 × 995.14
  4. Step 4: Simplify right side
    2,094.11x = 3,121,356.12
  5. Step 5: Solve for x
    x = 3,121,356.12/2,094.11
  6. Step 6: Final answer
    x = 1,490.54

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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.