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Finding the Fourth Proportional to 1,648.65, 2,475.81 and 1,463.97

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Solution

The fourth proportional to 1,648.65, 2,475.81 and 1,463.97 is: 2,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.65 : 2,475.81 = 1,463.97 : x
  2. Step 2: Convert to fraction form
    1,648.65/2,475.81 = 1,463.97/x
  3. Step 3: Cross multiply
    1,648.65x = 2,475.81 × 1,463.97
  4. Step 4: Simplify right side
    1,648.65x = 3,624,511.57
  5. Step 5: Solve for x
    x = 3,624,511.57/1,648.65
  6. Step 6: Final answer
    x = 2,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.