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Finding the Fourth Proportional to 1,616.54, 2,424.83 and 520.91

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Solution

The fourth proportional to 1,616.54, 2,424.83 and 520.91 is: 781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.54 : 2,424.83 = 520.91 : x
  2. Step 2: Convert to fraction form
    1,616.54/2,424.83 = 520.91/x
  3. Step 3: Cross multiply
    1,616.54x = 2,424.83 × 520.91
  4. Step 4: Simplify right side
    1,616.54x = 1,263,118.20
  5. Step 5: Solve for x
    x = 1,263,118.20/1,616.54
  6. Step 6: Final answer
    x = 781.37

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