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Finding the Fourth Proportional to 2,099.13, 2,896.86 and 1,154.88

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Solution

The fourth proportional to 2,099.13, 2,896.86 and 1,154.88 is: 1,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.13 : 2,896.86 = 1,154.88 : x
  2. Step 2: Convert to fraction form
    2,099.13/2,896.86 = 1,154.88/x
  3. Step 3: Cross multiply
    2,099.13x = 2,896.86 × 1,154.88
  4. Step 4: Simplify right side
    2,099.13x = 3,345,525.68
  5. Step 5: Solve for x
    x = 3,345,525.68/2,099.13
  6. Step 6: Final answer
    x = 1,593.77

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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.