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Finding the Fourth Proportional to 2,199.72, 3,297.15 and 1,468.29

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Solution

The fourth proportional to 2,199.72, 3,297.15 and 1,468.29 is: 2,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.72 : 3,297.15 = 1,468.29 : x
  2. Step 2: Convert to fraction form
    2,199.72/3,297.15 = 1,468.29/x
  3. Step 3: Cross multiply
    2,199.72x = 3,297.15 × 1,468.29
  4. Step 4: Simplify right side
    2,199.72x = 4,841,172.37
  5. Step 5: Solve for x
    x = 4,841,172.37/2,199.72
  6. Step 6: Final answer
    x = 2,200.81

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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.