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Finding the Fourth Proportional to 2,014.47, 3,020.22 and 1,149.39

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Solution

The fourth proportional to 2,014.47, 3,020.22 and 1,149.39 is: 1,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.47 : 3,020.22 = 1,149.39 : x
  2. Step 2: Convert to fraction form
    2,014.47/3,020.22 = 1,149.39/x
  3. Step 3: Cross multiply
    2,014.47x = 3,020.22 × 1,149.39
  4. Step 4: Simplify right side
    2,014.47x = 3,471,410.67
  5. Step 5: Solve for x
    x = 3,471,410.67/2,014.47
  6. Step 6: Final answer
    x = 1,723.24

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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.