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Finding the Fourth Proportional to 2,897.73, 3,998.81 and 1,571.42

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Solution

The fourth proportional to 2,897.73, 3,998.81 and 1,571.42 is: 2,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.73 : 3,998.81 = 1,571.42 : x
  2. Step 2: Convert to fraction form
    2,897.73/3,998.81 = 1,571.42/x
  3. Step 3: Cross multiply
    2,897.73x = 3,998.81 × 1,571.42
  4. Step 4: Simplify right side
    2,897.73x = 6,283,782.16
  5. Step 5: Solve for x
    x = 6,283,782.16/2,897.73
  6. Step 6: Final answer
    x = 2,168.52

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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.