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Finding the Fourth Proportional to 3,010.25, 4,514.94 and 819.02

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Solution

The fourth proportional to 3,010.25, 4,514.94 and 819.02 is: 1,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.25 : 4,514.94 = 819.02 : x
  2. Step 2: Convert to fraction form
    3,010.25/4,514.94 = 819.02/x
  3. Step 3: Cross multiply
    3,010.25x = 4,514.94 × 819.02
  4. Step 4: Simplify right side
    3,010.25x = 3,697,826.16
  5. Step 5: Solve for x
    x = 3,697,826.16/3,010.25
  6. Step 6: Final answer
    x = 1,228.41

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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.