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Finding the Fourth Proportional to 2,199.29, 3,297.15 and 1,504.22

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Solution

The fourth proportional to 2,199.29, 3,297.15 and 1,504.22 is: 2,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.29 : 3,297.15 = 1,504.22 : x
  2. Step 2: Convert to fraction form
    2,199.29/3,297.15 = 1,504.22/x
  3. Step 3: Cross multiply
    2,199.29x = 3,297.15 × 1,504.22
  4. Step 4: Simplify right side
    2,199.29x = 4,959,622.49
  5. Step 5: Solve for x
    x = 4,959,622.49/2,199.29
  6. Step 6: Final answer
    x = 2,255.11

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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.