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Finding the Fourth Proportional to 4,604.43, 6,901.04 and 2,102.18

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Solution

The fourth proportional to 4,604.43, 6,901.04 and 2,102.18 is: 3,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.43 : 6,901.04 = 2,102.18 : x
  2. Step 2: Convert to fraction form
    4,604.43/6,901.04 = 2,102.18/x
  3. Step 3: Cross multiply
    4,604.43x = 6,901.04 × 2,102.18
  4. Step 4: Simplify right side
    4,604.43x = 14,507,202.96
  5. Step 5: Solve for x
    x = 14,507,202.96/4,604.43
  6. Step 6: Final answer
    x = 3,150.71

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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.