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Finding the Fourth Proportional to 2,294.63, 3,432.30 and 2,128.44

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Solution

The fourth proportional to 2,294.63, 3,432.30 and 2,128.44 is: 3,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.63 : 3,432.30 = 2,128.44 : x
  2. Step 2: Convert to fraction form
    2,294.63/3,432.30 = 2,128.44/x
  3. Step 3: Cross multiply
    2,294.63x = 3,432.30 × 2,128.44
  4. Step 4: Simplify right side
    2,294.63x = 7,305,444.61
  5. Step 5: Solve for x
    x = 7,305,444.61/2,294.63
  6. Step 6: Final answer
    x = 3,183.71

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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.