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Finding the Fourth Proportional to 3,010.86, 4,515.57 and 819.77

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Solution

The fourth proportional to 3,010.86, 4,515.57 and 819.77 is: 1,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.86 : 4,515.57 = 819.77 : x
  2. Step 2: Convert to fraction form
    3,010.86/4,515.57 = 819.77/x
  3. Step 3: Cross multiply
    3,010.86x = 4,515.57 × 819.77
  4. Step 4: Simplify right side
    3,010.86x = 3,701,706.24
  5. Step 5: Solve for x
    x = 3,701,706.24/3,010.86
  6. Step 6: Final answer
    x = 1,229.45

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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.