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Finding the Fourth Proportional to 2,113.01, 3,169.85 and 1,194.47

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Solution

The fourth proportional to 2,113.01, 3,169.85 and 1,194.47 is: 1,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.01 : 3,169.85 = 1,194.47 : x
  2. Step 2: Convert to fraction form
    2,113.01/3,169.85 = 1,194.47/x
  3. Step 3: Cross multiply
    2,113.01x = 3,169.85 × 1,194.47
  4. Step 4: Simplify right side
    2,113.01x = 3,786,274.88
  5. Step 5: Solve for x
    x = 3,786,274.88/2,113.01
  6. Step 6: Final answer
    x = 1,791.89

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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.