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Finding the Fourth Proportional to 2,094.47, 3,139.90 and 796.87

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Solution

The fourth proportional to 2,094.47, 3,139.90 and 796.87 is: 1,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.47 : 3,139.90 = 796.87 : x
  2. Step 2: Convert to fraction form
    2,094.47/3,139.90 = 796.87/x
  3. Step 3: Cross multiply
    2,094.47x = 3,139.90 × 796.87
  4. Step 4: Simplify right side
    2,094.47x = 2,502,092.11
  5. Step 5: Solve for x
    x = 2,502,092.11/2,094.47
  6. Step 6: Final answer
    x = 1,194.62

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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.