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Finding the Fourth Proportional to 2,099.46, 2,896.41 and 1,872.24

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Solution

The fourth proportional to 2,099.46, 2,896.41 and 1,872.24 is: 2,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.46 : 2,896.41 = 1,872.24 : x
  2. Step 2: Convert to fraction form
    2,099.46/2,896.41 = 1,872.24/x
  3. Step 3: Cross multiply
    2,099.46x = 2,896.41 × 1,872.24
  4. Step 4: Simplify right side
    2,099.46x = 5,422,774.66
  5. Step 5: Solve for x
    x = 5,422,774.66/2,099.46
  6. Step 6: Final answer
    x = 2,582.94

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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.