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Finding the Fourth Proportional to 3,192.65, 4,780.32 and 1,650.41

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Solution

The fourth proportional to 3,192.65, 4,780.32 and 1,650.41 is: 2,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.65 : 4,780.32 = 1,650.41 : x
  2. Step 2: Convert to fraction form
    3,192.65/4,780.32 = 1,650.41/x
  3. Step 3: Cross multiply
    3,192.65x = 4,780.32 × 1,650.41
  4. Step 4: Simplify right side
    3,192.65x = 7,889,487.93
  5. Step 5: Solve for x
    x = 7,889,487.93/3,192.65
  6. Step 6: Final answer
    x = 2,471.14

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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.