Home / 1,678.22-2,517.75-523.97

Finding the Fourth Proportional to 1,678.22, 2,517.75 and 523.97

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Solution

The fourth proportional to 1,678.22, 2,517.75 and 523.97 is: 786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.22 : 2,517.75 = 523.97 : x
  2. Step 2: Convert to fraction form
    1,678.22/2,517.75 = 523.97/x
  3. Step 3: Cross multiply
    1,678.22x = 2,517.75 × 523.97
  4. Step 4: Simplify right side
    1,678.22x = 1,319,222.32
  5. Step 5: Solve for x
    x = 1,319,222.32/1,678.22
  6. Step 6: Final answer
    x = 786.08

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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.