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Finding the Fourth Proportional to 4,489.42, 6,734.16 and 1,202.98

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Solution

The fourth proportional to 4,489.42, 6,734.16 and 1,202.98 is: 1,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.42 : 6,734.16 = 1,202.98 : x
  2. Step 2: Convert to fraction form
    4,489.42/6,734.16 = 1,202.98/x
  3. Step 3: Cross multiply
    4,489.42x = 6,734.16 × 1,202.98
  4. Step 4: Simplify right side
    4,489.42x = 8,101,059.80
  5. Step 5: Solve for x
    x = 8,101,059.80/4,489.42
  6. Step 6: Final answer
    x = 1,804.48

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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.