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Finding the Fourth Proportional to 2,553.81, 3,832.62 and 1,897.20

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Solution

The fourth proportional to 2,553.81, 3,832.62 and 1,897.20 is: 2,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.81 : 3,832.62 = 1,897.20 : x
  2. Step 2: Convert to fraction form
    2,553.81/3,832.62 = 1,897.20/x
  3. Step 3: Cross multiply
    2,553.81x = 3,832.62 × 1,897.20
  4. Step 4: Simplify right side
    2,553.81x = 7,271,239.55
  5. Step 5: Solve for x
    x = 7,271,239.55/2,553.81
  6. Step 6: Final answer
    x = 2,847.22

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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.