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Finding the Fourth Proportional to 3,014.65, 4,161.72 and 1,896.20

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Solution

The fourth proportional to 3,014.65, 4,161.72 and 1,896.20 is: 2,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.65 : 4,161.72 = 1,896.20 : x
  2. Step 2: Convert to fraction form
    3,014.65/4,161.72 = 1,896.20/x
  3. Step 3: Cross multiply
    3,014.65x = 4,161.72 × 1,896.20
  4. Step 4: Simplify right side
    3,014.65x = 7,891,463.87
  5. Step 5: Solve for x
    x = 7,891,463.87/3,014.65
  6. Step 6: Final answer
    x = 2,617.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.