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Finding the Fourth Proportional to 2,012.27, 3,023.03 and 1,420.65

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Solution

The fourth proportional to 2,012.27, 3,023.03 and 1,420.65 is: 2,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.27 : 3,023.03 = 1,420.65 : x
  2. Step 2: Convert to fraction form
    2,012.27/3,023.03 = 1,420.65/x
  3. Step 3: Cross multiply
    2,012.27x = 3,023.03 × 1,420.65
  4. Step 4: Simplify right side
    2,012.27x = 4,294,660.47
  5. Step 5: Solve for x
    x = 4,294,660.47/2,012.27
  6. Step 6: Final answer
    x = 2,134.24

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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.