Home / 1,686.20-2,529.66-516.14

Finding the Fourth Proportional to 1,686.20, 2,529.66 and 516.14

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Solution

The fourth proportional to 1,686.20, 2,529.66 and 516.14 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.20 : 2,529.66 = 516.14 : x
  2. Step 2: Convert to fraction form
    1,686.20/2,529.66 = 516.14/x
  3. Step 3: Cross multiply
    1,686.20x = 2,529.66 × 516.14
  4. Step 4: Simplify right side
    1,686.20x = 1,305,658.71
  5. Step 5: Solve for x
    x = 1,305,658.71/1,686.20
  6. Step 6: Final answer
    x = 774.32

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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.