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Finding the Fourth Proportional to 2,896.86, 4,346.51 and 949.22

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Solution

The fourth proportional to 2,896.86, 4,346.51 and 949.22 is: 1,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.86 : 4,346.51 = 949.22 : x
  2. Step 2: Convert to fraction form
    2,896.86/4,346.51 = 949.22/x
  3. Step 3: Cross multiply
    2,896.86x = 4,346.51 × 949.22
  4. Step 4: Simplify right side
    2,896.86x = 4,125,789.38
  5. Step 5: Solve for x
    x = 4,125,789.38/2,896.86
  6. Step 6: Final answer
    x = 1,424.23

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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.