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Finding the Fourth Proportional to 1,615.41, 2,229.09 and 952.41

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Solution

The fourth proportional to 1,615.41, 2,229.09 and 952.41 is: 1,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.41 : 2,229.09 = 952.41 : x
  2. Step 2: Convert to fraction form
    1,615.41/2,229.09 = 952.41/x
  3. Step 3: Cross multiply
    1,615.41x = 2,229.09 × 952.41
  4. Step 4: Simplify right side
    1,615.41x = 2,123,007.61
  5. Step 5: Solve for x
    x = 2,123,007.61/1,615.41
  6. Step 6: Final answer
    x = 1,314.22

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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.