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Finding the Fourth Proportional to 3,010.30, 4,515.78 and 819.05

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Solution

The fourth proportional to 3,010.30, 4,515.78 and 819.05 is: 1,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.30 : 4,515.78 = 819.05 : x
  2. Step 2: Convert to fraction form
    3,010.30/4,515.78 = 819.05/x
  3. Step 3: Cross multiply
    3,010.30x = 4,515.78 × 819.05
  4. Step 4: Simplify right side
    3,010.30x = 3,698,630.10
  5. Step 5: Solve for x
    x = 3,698,630.10/3,010.30
  6. Step 6: Final answer
    x = 1,228.66

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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.