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Finding the Fourth Proportional to 2,098.92, 2,896.59 and 1,202.81

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Solution

The fourth proportional to 2,098.92, 2,896.59 and 1,202.81 is: 1,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.92 : 2,896.59 = 1,202.81 : x
  2. Step 2: Convert to fraction form
    2,098.92/2,896.59 = 1,202.81/x
  3. Step 3: Cross multiply
    2,098.92x = 2,896.59 × 1,202.81
  4. Step 4: Simplify right side
    2,098.92x = 3,484,037.45
  5. Step 5: Solve for x
    x = 3,484,037.45/2,098.92
  6. Step 6: Final answer
    x = 1,659.92

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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.