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Finding the Fourth Proportional to 4,234.82, 6,347.70 and 1,601.10

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Solution

The fourth proportional to 4,234.82, 6,347.70 and 1,601.10 is: 2,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.82 : 6,347.70 = 1,601.10 : x
  2. Step 2: Convert to fraction form
    4,234.82/6,347.70 = 1,601.10/x
  3. Step 3: Cross multiply
    4,234.82x = 6,347.70 × 1,601.10
  4. Step 4: Simplify right side
    4,234.82x = 10,163,302.47
  5. Step 5: Solve for x
    x = 10,163,302.47/4,234.82
  6. Step 6: Final answer
    x = 2,399.94

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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.