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Finding the Fourth Proportional to 4,402.42, 6,604.07 and 1,282.46

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Solution

The fourth proportional to 4,402.42, 6,604.07 and 1,282.46 is: 1,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.42 : 6,604.07 = 1,282.46 : x
  2. Step 2: Convert to fraction form
    4,402.42/6,604.07 = 1,282.46/x
  3. Step 3: Cross multiply
    4,402.42x = 6,604.07 × 1,282.46
  4. Step 4: Simplify right side
    4,402.42x = 8,469,416.18
  5. Step 5: Solve for x
    x = 8,469,416.18/4,402.42
  6. Step 6: Final answer
    x = 1,923.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.