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Finding the Fourth Proportional to 1,616.67, 2,424.94 and 520.97

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Solution

The fourth proportional to 1,616.67, 2,424.94 and 520.97 is: 781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.67 : 2,424.94 = 520.97 : x
  2. Step 2: Convert to fraction form
    1,616.67/2,424.94 = 520.97/x
  3. Step 3: Cross multiply
    1,616.67x = 2,424.94 × 520.97
  4. Step 4: Simplify right side
    1,616.67x = 1,263,307.56
  5. Step 5: Solve for x
    x = 1,263,307.56/1,616.67
  6. Step 6: Final answer
    x = 781.43

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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.