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Finding the Fourth Proportional to 2,111.20, 3,166.39 and 794.70

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Solution

The fourth proportional to 2,111.20, 3,166.39 and 794.70 is: 1,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.20 : 3,166.39 = 794.70 : x
  2. Step 2: Convert to fraction form
    2,111.20/3,166.39 = 794.70/x
  3. Step 3: Cross multiply
    2,111.20x = 3,166.39 × 794.70
  4. Step 4: Simplify right side
    2,111.20x = 2,516,330.13
  5. Step 5: Solve for x
    x = 2,516,330.13/2,111.20
  6. Step 6: Final answer
    x = 1,191.90

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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.