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Finding the Fourth Proportional to 2,197.96, 3,297.85 and 1,027.10

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Solution

The fourth proportional to 2,197.96, 3,297.85 and 1,027.10 is: 1,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.96 : 3,297.85 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    2,197.96/3,297.85 = 1,027.10/x
  3. Step 3: Cross multiply
    2,197.96x = 3,297.85 × 1,027.10
  4. Step 4: Simplify right side
    2,197.96x = 3,387,227.41
  5. Step 5: Solve for x
    x = 3,387,227.41/2,197.96
  6. Step 6: Final answer
    x = 1,541.08

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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.