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Finding the Fourth Proportional to 1,949.52, 2,691.16 and 1,896.86

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Solution

The fourth proportional to 1,949.52, 2,691.16 and 1,896.86 is: 2,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.52 : 2,691.16 = 1,896.86 : x
  2. Step 2: Convert to fraction form
    1,949.52/2,691.16 = 1,896.86/x
  3. Step 3: Cross multiply
    1,949.52x = 2,691.16 × 1,896.86
  4. Step 4: Simplify right side
    1,949.52x = 5,104,753.76
  5. Step 5: Solve for x
    x = 5,104,753.76/1,949.52
  6. Step 6: Final answer
    x = 2,618.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.