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Finding the Fourth Proportional to 3,234.72, 4,463.97 and 1,975.62

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Solution

The fourth proportional to 3,234.72, 4,463.97 and 1,975.62 is: 2,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.72 : 4,463.97 = 1,975.62 : x
  2. Step 2: Convert to fraction form
    3,234.72/4,463.97 = 1,975.62/x
  3. Step 3: Cross multiply
    3,234.72x = 4,463.97 × 1,975.62
  4. Step 4: Simplify right side
    3,234.72x = 8,819,108.41
  5. Step 5: Solve for x
    x = 8,819,108.41/3,234.72
  6. Step 6: Final answer
    x = 2,726.39

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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.