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Finding the Fourth Proportional to 3,197.70, 4,788.45 and 2,549.70

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Solution

The fourth proportional to 3,197.70, 4,788.45 and 2,549.70 is: 3,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.70 : 4,788.45 = 2,549.70 : x
  2. Step 2: Convert to fraction form
    3,197.70/4,788.45 = 2,549.70/x
  3. Step 3: Cross multiply
    3,197.70x = 4,788.45 × 2,549.70
  4. Step 4: Simplify right side
    3,197.70x = 12,209,110.97
  5. Step 5: Solve for x
    x = 12,209,110.97/3,197.70
  6. Step 6: Final answer
    x = 3,818.09

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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.