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Finding the Fourth Proportional to 1,617.68, 2,424.41 and 1,174.43

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Solution

The fourth proportional to 1,617.68, 2,424.41 and 1,174.43 is: 1,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.68 : 2,424.41 = 1,174.43 : x
  2. Step 2: Convert to fraction form
    1,617.68/2,424.41 = 1,174.43/x
  3. Step 3: Cross multiply
    1,617.68x = 2,424.41 × 1,174.43
  4. Step 4: Simplify right side
    1,617.68x = 2,847,299.84
  5. Step 5: Solve for x
    x = 2,847,299.84/1,617.68
  6. Step 6: Final answer
    x = 1,760.11

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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.