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Finding the Fourth Proportional to 3,029.54, 4,543.47 and 2,149.43

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Solution

The fourth proportional to 3,029.54, 4,543.47 and 2,149.43 is: 3,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.54 : 4,543.47 = 2,149.43 : x
  2. Step 2: Convert to fraction form
    3,029.54/4,543.47 = 2,149.43/x
  3. Step 3: Cross multiply
    3,029.54x = 4,543.47 × 2,149.43
  4. Step 4: Simplify right side
    3,029.54x = 9,765,848.00
  5. Step 5: Solve for x
    x = 9,765,848.00/3,029.54
  6. Step 6: Final answer
    x = 3,223.55

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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.