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Finding the Fourth Proportional to 4,154.98, 6,231.84 and 1,689.82

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Solution

The fourth proportional to 4,154.98, 6,231.84 and 1,689.82 is: 2,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.98 : 6,231.84 = 1,689.82 : x
  2. Step 2: Convert to fraction form
    4,154.98/6,231.84 = 1,689.82/x
  3. Step 3: Cross multiply
    4,154.98x = 6,231.84 × 1,689.82
  4. Step 4: Simplify right side
    4,154.98x = 10,530,687.87
  5. Step 5: Solve for x
    x = 10,530,687.87/4,154.98
  6. Step 6: Final answer
    x = 2,534.47

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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.