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Finding the Fourth Proportional to 2,824.01, 3,894.08 and 2,375.76

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Solution

The fourth proportional to 2,824.01, 3,894.08 and 2,375.76 is: 3,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.01 : 3,894.08 = 2,375.76 : x
  2. Step 2: Convert to fraction form
    2,824.01/3,894.08 = 2,375.76/x
  3. Step 3: Cross multiply
    2,824.01x = 3,894.08 × 2,375.76
  4. Step 4: Simplify right side
    2,824.01x = 9,251,387.62
  5. Step 5: Solve for x
    x = 9,251,387.62/2,824.01
  6. Step 6: Final answer
    x = 3,275.98

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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.