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Finding the Fourth Proportional to 2,400.68, 3,601.02 and 669.31

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Solution

The fourth proportional to 2,400.68, 3,601.02 and 669.31 is: 1,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.68 : 3,601.02 = 669.31 : x
  2. Step 2: Convert to fraction form
    2,400.68/3,601.02 = 669.31/x
  3. Step 3: Cross multiply
    2,400.68x = 3,601.02 × 669.31
  4. Step 4: Simplify right side
    2,400.68x = 2,410,188.02
  5. Step 5: Solve for x
    x = 2,410,188.02/2,400.68
  6. Step 6: Final answer
    x = 1,003.96

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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.