Home / 2,586.24-3,881.52-1,027.68

Finding the Fourth Proportional to 2,586.24, 3,881.52 and 1,027.68

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Solution

The fourth proportional to 2,586.24, 3,881.52 and 1,027.68 is: 1,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.24 : 3,881.52 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    2,586.24/3,881.52 = 1,027.68/x
  3. Step 3: Cross multiply
    2,586.24x = 3,881.52 × 1,027.68
  4. Step 4: Simplify right side
    2,586.24x = 3,988,960.47
  5. Step 5: Solve for x
    x = 3,988,960.47/2,586.24
  6. Step 6: Final answer
    x = 1,542.38

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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.