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Finding the Fourth Proportional to 2,663.46, 3,990.80 and 1,620.31

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Solution

The fourth proportional to 2,663.46, 3,990.80 and 1,620.31 is: 2,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.46 : 3,990.80 = 1,620.31 : x
  2. Step 2: Convert to fraction form
    2,663.46/3,990.80 = 1,620.31/x
  3. Step 3: Cross multiply
    2,663.46x = 3,990.80 × 1,620.31
  4. Step 4: Simplify right side
    2,663.46x = 6,466,333.15
  5. Step 5: Solve for x
    x = 6,466,333.15/2,663.46
  6. Step 6: Final answer
    x = 2,427.79

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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.