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Finding the Fourth Proportional to 3,093, 4,268.35 and 1,676.71

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Solution

The fourth proportional to 3,093, 4,268.35 and 1,676.71 is: 2,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 4,268.35 = 1,676.71 : x
  2. Step 2: Convert to fraction form
    3,093/4,268.35 = 1,676.71/x
  3. Step 3: Cross multiply
    3,093x = 4,268.35 × 1,676.71
  4. Step 4: Simplify right side
    3,093x = 7,156,785.13
  5. Step 5: Solve for x
    x = 7,156,785.13/3,093
  6. Step 6: Final answer
    x = 2,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.