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Finding the Fourth Proportional to 2,020.37, 3,030.85 and 633.54

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Solution

The fourth proportional to 2,020.37, 3,030.85 and 633.54 is: 950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.37 : 3,030.85 = 633.54 : x
  2. Step 2: Convert to fraction form
    2,020.37/3,030.85 = 633.54/x
  3. Step 3: Cross multiply
    2,020.37x = 3,030.85 × 633.54
  4. Step 4: Simplify right side
    2,020.37x = 1,920,176.87
  5. Step 5: Solve for x
    x = 1,920,176.87/2,020.37
  6. Step 6: Final answer
    x = 950.41

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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.