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Finding the Fourth Proportional to 3,187.65, 4,772.83 and 1,645.41

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Solution

The fourth proportional to 3,187.65, 4,772.83 and 1,645.41 is: 2,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.65 : 4,772.83 = 1,645.41 : x
  2. Step 2: Convert to fraction form
    3,187.65/4,772.83 = 1,645.41/x
  3. Step 3: Cross multiply
    3,187.65x = 4,772.83 × 1,645.41
  4. Step 4: Simplify right side
    3,187.65x = 7,853,262.21
  5. Step 5: Solve for x
    x = 7,853,262.21/3,187.65
  6. Step 6: Final answer
    x = 2,463.65

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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.