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Finding the Fourth Proportional to 4,156.49, 6,234.73 and 1,690.73

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Solution

The fourth proportional to 4,156.49, 6,234.73 and 1,690.73 is: 2,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.49 : 6,234.73 = 1,690.73 : x
  2. Step 2: Convert to fraction form
    4,156.49/6,234.73 = 1,690.73/x
  3. Step 3: Cross multiply
    4,156.49x = 6,234.73 × 1,690.73
  4. Step 4: Simplify right side
    4,156.49x = 10,541,233.03
  5. Step 5: Solve for x
    x = 10,541,233.03/4,156.49
  6. Step 6: Final answer
    x = 2,536.09

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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.