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Finding the Fourth Proportional to 4,644.09, 6,966.14 and 2,180.66

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Solution

The fourth proportional to 4,644.09, 6,966.14 and 2,180.66 is: 3,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.09 : 6,966.14 = 2,180.66 : x
  2. Step 2: Convert to fraction form
    4,644.09/6,966.14 = 2,180.66/x
  3. Step 3: Cross multiply
    4,644.09x = 6,966.14 × 2,180.66
  4. Step 4: Simplify right side
    4,644.09x = 15,190,737.12
  5. Step 5: Solve for x
    x = 15,190,737.12/4,644.09
  6. Step 6: Final answer
    x = 3,270.98

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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.