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Finding the Fourth Proportional to 2,197.86, 3,033.12 and 1,203.14

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Solution

The fourth proportional to 2,197.86, 3,033.12 and 1,203.14 is: 1,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.86 : 3,033.12 = 1,203.14 : x
  2. Step 2: Convert to fraction form
    2,197.86/3,033.12 = 1,203.14/x
  3. Step 3: Cross multiply
    2,197.86x = 3,033.12 × 1,203.14
  4. Step 4: Simplify right side
    2,197.86x = 3,649,256.26
  5. Step 5: Solve for x
    x = 3,649,256.26/2,197.86
  6. Step 6: Final answer
    x = 1,660.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.