Home / 2,842.24-3,921.84-1,600

Finding the Fourth Proportional to 2,842.24, 3,921.84 and 1,600

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Solution

The fourth proportional to 2,842.24, 3,921.84 and 1,600 is: 2,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.24 : 3,921.84 = 1,600 : x
  2. Step 2: Convert to fraction form
    2,842.24/3,921.84 = 1,600/x
  3. Step 3: Cross multiply
    2,842.24x = 3,921.84 × 1,600
  4. Step 4: Simplify right side
    2,842.24x = 6,274,944
  5. Step 5: Solve for x
    x = 6,274,944/2,842.24
  6. Step 6: Final answer
    x = 2,207.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.