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Finding the Fourth Proportional to 3,040.86, 4,560.63 and 819.63

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Solution

The fourth proportional to 3,040.86, 4,560.63 and 819.63 is: 1,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.86 : 4,560.63 = 819.63 : x
  2. Step 2: Convert to fraction form
    3,040.86/4,560.63 = 819.63/x
  3. Step 3: Cross multiply
    3,040.86x = 4,560.63 × 819.63
  4. Step 4: Simplify right side
    3,040.86x = 3,738,029.17
  5. Step 5: Solve for x
    x = 3,738,029.17/3,040.86
  6. Step 6: Final answer
    x = 1,229.27

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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.