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Finding the Fourth Proportional to 4,157.43, 6,236.13 and 1,691.70

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Solution

The fourth proportional to 4,157.43, 6,236.13 and 1,691.70 is: 2,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.43 : 6,236.13 = 1,691.70 : x
  2. Step 2: Convert to fraction form
    4,157.43/6,236.13 = 1,691.70/x
  3. Step 3: Cross multiply
    4,157.43x = 6,236.13 × 1,691.70
  4. Step 4: Simplify right side
    4,157.43x = 10,549,661.12
  5. Step 5: Solve for x
    x = 10,549,661.12/4,157.43
  6. Step 6: Final answer
    x = 2,537.54

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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.