Home / 1,682.13-2,522.29-511.79

Finding the Fourth Proportional to 1,682.13, 2,522.29 and 511.79

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Solution

The fourth proportional to 1,682.13, 2,522.29 and 511.79 is: 767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.13 : 2,522.29 = 511.79 : x
  2. Step 2: Convert to fraction form
    1,682.13/2,522.29 = 511.79/x
  3. Step 3: Cross multiply
    1,682.13x = 2,522.29 × 511.79
  4. Step 4: Simplify right side
    1,682.13x = 1,290,869.87
  5. Step 5: Solve for x
    x = 1,290,869.87/1,682.13
  6. Step 6: Final answer
    x = 767.40

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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.