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Finding the Fourth Proportional to 1,897.42, 2,847.91 and 1,168.42

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Solution

The fourth proportional to 1,897.42, 2,847.91 and 1,168.42 is: 1,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.42 : 2,847.91 = 1,168.42 : x
  2. Step 2: Convert to fraction form
    1,897.42/2,847.91 = 1,168.42/x
  3. Step 3: Cross multiply
    1,897.42x = 2,847.91 × 1,168.42
  4. Step 4: Simplify right side
    1,897.42x = 3,327,555.00
  5. Step 5: Solve for x
    x = 3,327,555.00/1,897.42
  6. Step 6: Final answer
    x = 1,753.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.