Home / 1,924.14-2,886.70-827.92

Finding the Fourth Proportional to 1,924.14, 2,886.70 and 827.92

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Solution

The fourth proportional to 1,924.14, 2,886.70 and 827.92 is: 1,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.14 : 2,886.70 = 827.92 : x
  2. Step 2: Convert to fraction form
    1,924.14/2,886.70 = 827.92/x
  3. Step 3: Cross multiply
    1,924.14x = 2,886.70 × 827.92
  4. Step 4: Simplify right side
    1,924.14x = 2,389,956.66
  5. Step 5: Solve for x
    x = 2,389,956.66/1,924.14
  6. Step 6: Final answer
    x = 1,242.09

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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.