Home / 1,616.24-2,424.11-520.46

Finding the Fourth Proportional to 1,616.24, 2,424.11 and 520.46

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Solution

The fourth proportional to 1,616.24, 2,424.11 and 520.46 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.24 : 2,424.11 = 520.46 : x
  2. Step 2: Convert to fraction form
    1,616.24/2,424.11 = 520.46/x
  3. Step 3: Cross multiply
    1,616.24x = 2,424.11 × 520.46
  4. Step 4: Simplify right side
    1,616.24x = 1,261,637.57
  5. Step 5: Solve for x
    x = 1,261,637.57/1,616.24
  6. Step 6: Final answer
    x = 780.60

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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.