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Finding the Fourth Proportional to 3,202.41, 4,803.81 and 1,011.22

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Solution

The fourth proportional to 3,202.41, 4,803.81 and 1,011.22 is: 1,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.41 : 4,803.81 = 1,011.22 : x
  2. Step 2: Convert to fraction form
    3,202.41/4,803.81 = 1,011.22/x
  3. Step 3: Cross multiply
    3,202.41x = 4,803.81 × 1,011.22
  4. Step 4: Simplify right side
    3,202.41x = 4,857,708.75
  5. Step 5: Solve for x
    x = 4,857,708.75/3,202.41
  6. Step 6: Final answer
    x = 1,516.89

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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.