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Finding the Fourth Proportional to 2,093.24, 3,137.80 and 1,169.24

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Solution

The fourth proportional to 2,093.24, 3,137.80 and 1,169.24 is: 1,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.24 : 3,137.80 = 1,169.24 : x
  2. Step 2: Convert to fraction form
    2,093.24/3,137.80 = 1,169.24/x
  3. Step 3: Cross multiply
    2,093.24x = 3,137.80 × 1,169.24
  4. Step 4: Simplify right side
    2,093.24x = 3,668,841.27
  5. Step 5: Solve for x
    x = 3,668,841.27/2,093.24
  6. Step 6: Final answer
    x = 1,752.71

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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.