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Finding the Fourth Proportional to 3,229.16, 4,845.34 and 1,497.48

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Solution

The fourth proportional to 3,229.16, 4,845.34 and 1,497.48 is: 2,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.16 : 4,845.34 = 1,497.48 : x
  2. Step 2: Convert to fraction form
    3,229.16/4,845.34 = 1,497.48/x
  3. Step 3: Cross multiply
    3,229.16x = 4,845.34 × 1,497.48
  4. Step 4: Simplify right side
    3,229.16x = 7,255,799.74
  5. Step 5: Solve for x
    x = 7,255,799.74/3,229.16
  6. Step 6: Final answer
    x = 2,246.96

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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.