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Finding the Fourth Proportional to 2,093.51, 3,137.87 and 1,169.49

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Solution

The fourth proportional to 2,093.51, 3,137.87 and 1,169.49 is: 1,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.51 : 3,137.87 = 1,169.49 : x
  2. Step 2: Convert to fraction form
    2,093.51/3,137.87 = 1,169.49/x
  3. Step 3: Cross multiply
    2,093.51x = 3,137.87 × 1,169.49
  4. Step 4: Simplify right side
    2,093.51x = 3,669,701.74
  5. Step 5: Solve for x
    x = 3,669,701.74/2,093.51
  6. Step 6: Final answer
    x = 1,752.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.