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Finding the Fourth Proportional to 2,867.41, 4,301.26 and 894.39

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Solution

The fourth proportional to 2,867.41, 4,301.26 and 894.39 is: 1,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.41 : 4,301.26 = 894.39 : x
  2. Step 2: Convert to fraction form
    2,867.41/4,301.26 = 894.39/x
  3. Step 3: Cross multiply
    2,867.41x = 4,301.26 × 894.39
  4. Step 4: Simplify right side
    2,867.41x = 3,846,982.43
  5. Step 5: Solve for x
    x = 3,846,982.43/2,867.41
  6. Step 6: Final answer
    x = 1,341.62

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1.5x scale

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.