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Finding the Fourth Proportional to 3,204.32, 4,809.20 and 1,257.88

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Solution

The fourth proportional to 3,204.32, 4,809.20 and 1,257.88 is: 1,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.32 : 4,809.20 = 1,257.88 : x
  2. Step 2: Convert to fraction form
    3,204.32/4,809.20 = 1,257.88/x
  3. Step 3: Cross multiply
    3,204.32x = 4,809.20 × 1,257.88
  4. Step 4: Simplify right side
    3,204.32x = 6,049,396.50
  5. Step 5: Solve for x
    x = 6,049,396.50/3,204.32
  6. Step 6: Final answer
    x = 1,887.89

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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.