Home / 1,552.31-2,327.97-512.08

Finding the Fourth Proportional to 1,552.31, 2,327.97 and 512.08

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Solution

The fourth proportional to 1,552.31, 2,327.97 and 512.08 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.31 : 2,327.97 = 512.08 : x
  2. Step 2: Convert to fraction form
    1,552.31/2,327.97 = 512.08/x
  3. Step 3: Cross multiply
    1,552.31x = 2,327.97 × 512.08
  4. Step 4: Simplify right side
    1,552.31x = 1,192,106.88
  5. Step 5: Solve for x
    x = 1,192,106.88/1,552.31
  6. Step 6: Final answer
    x = 767.96

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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.