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Finding the Fourth Proportional to 3,010.96, 4,513.74 and 1,912.24

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Solution

The fourth proportional to 3,010.96, 4,513.74 and 1,912.24 is: 2,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.96 : 4,513.74 = 1,912.24 : x
  2. Step 2: Convert to fraction form
    3,010.96/4,513.74 = 1,912.24/x
  3. Step 3: Cross multiply
    3,010.96x = 4,513.74 × 1,912.24
  4. Step 4: Simplify right side
    3,010.96x = 8,631,354.18
  5. Step 5: Solve for x
    x = 8,631,354.18/3,010.96
  6. Step 6: Final answer
    x = 2,866.65

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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.