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Finding the Fourth Proportional to 3,203.62, 4,809.48 and 2,234.86

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Solution

The fourth proportional to 3,203.62, 4,809.48 and 2,234.86 is: 3,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.62 : 4,809.48 = 2,234.86 : x
  2. Step 2: Convert to fraction form
    3,203.62/4,809.48 = 2,234.86/x
  3. Step 3: Cross multiply
    3,203.62x = 4,809.48 × 2,234.86
  4. Step 4: Simplify right side
    3,203.62x = 10,748,494.07
  5. Step 5: Solve for x
    x = 10,748,494.07/3,203.62
  6. Step 6: Final answer
    x = 3,355.11

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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.