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Finding the Fourth Proportional to 1,617.20, 2,424.71 and 506.24

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Solution

The fourth proportional to 1,617.20, 2,424.71 and 506.24 is: 759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.20 : 2,424.71 = 506.24 : x
  2. Step 2: Convert to fraction form
    1,617.20/2,424.71 = 506.24/x
  3. Step 3: Cross multiply
    1,617.20x = 2,424.71 × 506.24
  4. Step 4: Simplify right side
    1,617.20x = 1,227,474.33
  5. Step 5: Solve for x
    x = 1,227,474.33/1,617.20
  6. Step 6: Final answer
    x = 759.01

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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.