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Finding the Fourth Proportional to 3,029.93, 4,544.12 and 2,149.86

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Solution

The fourth proportional to 3,029.93, 4,544.12 and 2,149.86 is: 3,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.93 : 4,544.12 = 2,149.86 : x
  2. Step 2: Convert to fraction form
    3,029.93/4,544.12 = 2,149.86/x
  3. Step 3: Cross multiply
    3,029.93x = 4,544.12 × 2,149.86
  4. Step 4: Simplify right side
    3,029.93x = 9,769,211.07
  5. Step 5: Solve for x
    x = 9,769,211.07/3,029.93
  6. Step 6: Final answer
    x = 3,224.24

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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.