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Finding the Fourth Proportional to 2,099.16, 2,896.89 and 1,155

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Solution

The fourth proportional to 2,099.16, 2,896.89 and 1,155 is: 1,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 2,896.89 = 1,155 : x
  2. Step 2: Convert to fraction form
    2,099.16/2,896.89 = 1,155/x
  3. Step 3: Cross multiply
    2,099.16x = 2,896.89 × 1,155
  4. Step 4: Simplify right side
    2,099.16x = 3,345,902.18
  5. Step 5: Solve for x
    x = 3,345,902.18/2,099.16
  6. Step 6: Final answer
    x = 1,593.93

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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.