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Finding the Fourth Proportional to 2,432.43, 3,661.02 and 1,819.44

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Solution

The fourth proportional to 2,432.43, 3,661.02 and 1,819.44 is: 2,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.43 : 3,661.02 = 1,819.44 : x
  2. Step 2: Convert to fraction form
    2,432.43/3,661.02 = 1,819.44/x
  3. Step 3: Cross multiply
    2,432.43x = 3,661.02 × 1,819.44
  4. Step 4: Simplify right side
    2,432.43x = 6,661,006.23
  5. Step 5: Solve for x
    x = 6,661,006.23/2,432.43
  6. Step 6: Final answer
    x = 2,738.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.