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Finding the Fourth Proportional to 2,111.14, 3,166.78 and 794.74

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Solution

The fourth proportional to 2,111.14, 3,166.78 and 794.74 is: 1,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.14 : 3,166.78 = 794.74 : x
  2. Step 2: Convert to fraction form
    2,111.14/3,166.78 = 794.74/x
  3. Step 3: Cross multiply
    2,111.14x = 3,166.78 × 794.74
  4. Step 4: Simplify right side
    2,111.14x = 2,516,766.74
  5. Step 5: Solve for x
    x = 2,516,766.74/2,111.14
  6. Step 6: Final answer
    x = 1,192.14

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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.