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Finding the Fourth Proportional to 3,020.63, 4,530.42 and 799.49

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Solution

The fourth proportional to 3,020.63, 4,530.42 and 799.49 is: 1,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.63 : 4,530.42 = 799.49 : x
  2. Step 2: Convert to fraction form
    3,020.63/4,530.42 = 799.49/x
  3. Step 3: Cross multiply
    3,020.63x = 4,530.42 × 799.49
  4. Step 4: Simplify right side
    3,020.63x = 3,621,998.84
  5. Step 5: Solve for x
    x = 3,621,998.84/3,020.63
  6. Step 6: Final answer
    x = 1,199.09

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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.