Home / 2,824.16-3,897.20-1,581.92

Finding the Fourth Proportional to 2,824.16, 3,897.20 and 1,581.92

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Solution

The fourth proportional to 2,824.16, 3,897.20 and 1,581.92 is: 2,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.16 : 3,897.20 = 1,581.92 : x
  2. Step 2: Convert to fraction form
    2,824.16/3,897.20 = 1,581.92/x
  3. Step 3: Cross multiply
    2,824.16x = 3,897.20 × 1,581.92
  4. Step 4: Simplify right side
    2,824.16x = 6,165,058.62
  5. Step 5: Solve for x
    x = 6,165,058.62/2,824.16
  6. Step 6: Final answer
    x = 2,182.97

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1.5x scale

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.