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Finding the Fourth Proportional to 3,020.11, 4,529.46 and 829.01

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Solution

The fourth proportional to 3,020.11, 4,529.46 and 829.01 is: 1,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.11 : 4,529.46 = 829.01 : x
  2. Step 2: Convert to fraction form
    3,020.11/4,529.46 = 829.01/x
  3. Step 3: Cross multiply
    3,020.11x = 4,529.46 × 829.01
  4. Step 4: Simplify right side
    3,020.11x = 3,754,978.96
  5. Step 5: Solve for x
    x = 3,754,978.96/3,020.11
  6. Step 6: Final answer
    x = 1,243.33

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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.