Home / 2,231.06-3,346.86-1,076

Finding the Fourth Proportional to 2,231.06, 3,346.86 and 1,076

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Solution

The fourth proportional to 2,231.06, 3,346.86 and 1,076 is: 1,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.06 : 3,346.86 = 1,076 : x
  2. Step 2: Convert to fraction form
    2,231.06/3,346.86 = 1,076/x
  3. Step 3: Cross multiply
    2,231.06x = 3,346.86 × 1,076
  4. Step 4: Simplify right side
    2,231.06x = 3,601,221.36
  5. Step 5: Solve for x
    x = 3,601,221.36/2,231.06
  6. Step 6: Final answer
    x = 1,614.13

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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.