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Finding the Fourth Proportional to 4,156.79, 6,234.86 and 1,657.89

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Solution

The fourth proportional to 4,156.79, 6,234.86 and 1,657.89 is: 2,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.79 : 6,234.86 = 1,657.89 : x
  2. Step 2: Convert to fraction form
    4,156.79/6,234.86 = 1,657.89/x
  3. Step 3: Cross multiply
    4,156.79x = 6,234.86 × 1,657.89
  4. Step 4: Simplify right side
    4,156.79x = 10,336,716.19
  5. Step 5: Solve for x
    x = 10,336,716.19/4,156.79
  6. Step 6: Final answer
    x = 2,486.71

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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.