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Finding the Fourth Proportional to 2,898.90, 3,998.22 and 2,105.16

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Solution

The fourth proportional to 2,898.90, 3,998.22 and 2,105.16 is: 2,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.90 : 3,998.22 = 2,105.16 : x
  2. Step 2: Convert to fraction form
    2,898.90/3,998.22 = 2,105.16/x
  3. Step 3: Cross multiply
    2,898.90x = 3,998.22 × 2,105.16
  4. Step 4: Simplify right side
    2,898.90x = 8,416,892.82
  5. Step 5: Solve for x
    x = 8,416,892.82/2,898.90
  6. Step 6: Final answer
    x = 2,903.48

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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.