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Finding the Fourth Proportional to 2,102.67, 3,135.66 and 1,843.86

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Solution

The fourth proportional to 2,102.67, 3,135.66 and 1,843.86 is: 2,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.67 : 3,135.66 = 1,843.86 : x
  2. Step 2: Convert to fraction form
    2,102.67/3,135.66 = 1,843.86/x
  3. Step 3: Cross multiply
    2,102.67x = 3,135.66 × 1,843.86
  4. Step 4: Simplify right side
    2,102.67x = 5,781,718.05
  5. Step 5: Solve for x
    x = 5,781,718.05/2,102.67
  6. Step 6: Final answer
    x = 2,749.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.