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Finding the Fourth Proportional to 4,447.72, 6,671.80 and 1,982.70

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Solution

The fourth proportional to 4,447.72, 6,671.80 and 1,982.70 is: 2,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.72 : 6,671.80 = 1,982.70 : x
  2. Step 2: Convert to fraction form
    4,447.72/6,671.80 = 1,982.70/x
  3. Step 3: Cross multiply
    4,447.72x = 6,671.80 × 1,982.70
  4. Step 4: Simplify right side
    4,447.72x = 13,228,177.86
  5. Step 5: Solve for x
    x = 13,228,177.86/4,447.72
  6. Step 6: Final answer
    x = 2,974.15

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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.