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Finding the Fourth Proportional to 2,897.14, 3,998.12 and 1,638.27

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Solution

The fourth proportional to 2,897.14, 3,998.12 and 1,638.27 is: 2,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.14 : 3,998.12 = 1,638.27 : x
  2. Step 2: Convert to fraction form
    2,897.14/3,998.12 = 1,638.27/x
  3. Step 3: Cross multiply
    2,897.14x = 3,998.12 × 1,638.27
  4. Step 4: Simplify right side
    2,897.14x = 6,550,000.05
  5. Step 5: Solve for x
    x = 6,550,000.05/2,897.14
  6. Step 6: Final answer
    x = 2,260.85

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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.