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Finding the Fourth Proportional to 2,897.36, 3,998.33 and 1,638.83

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Solution

The fourth proportional to 2,897.36, 3,998.33 and 1,638.83 is: 2,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.36 : 3,998.33 = 1,638.83 : x
  2. Step 2: Convert to fraction form
    2,897.36/3,998.33 = 1,638.83/x
  3. Step 3: Cross multiply
    2,897.36x = 3,998.33 × 1,638.83
  4. Step 4: Simplify right side
    2,897.36x = 6,552,567.26
  5. Step 5: Solve for x
    x = 6,552,567.26/2,897.36
  6. Step 6: Final answer
    x = 2,261.56

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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.