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Finding the Fourth Proportional to 2,060.24, 3,098.24 and 1,644.76

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Solution

The fourth proportional to 2,060.24, 3,098.24 and 1,644.76 is: 2,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.24 : 3,098.24 = 1,644.76 : x
  2. Step 2: Convert to fraction form
    2,060.24/3,098.24 = 1,644.76/x
  3. Step 3: Cross multiply
    2,060.24x = 3,098.24 × 1,644.76
  4. Step 4: Simplify right side
    2,060.24x = 5,095,861.22
  5. Step 5: Solve for x
    x = 5,095,861.22/2,060.24
  6. Step 6: Final answer
    x = 2,473.43

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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.