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Finding the Fourth Proportional to 2,198.30, 3,291.05 and 2,134.30

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Solution

The fourth proportional to 2,198.30, 3,291.05 and 2,134.30 is: 3,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.30 : 3,291.05 = 2,134.30 : x
  2. Step 2: Convert to fraction form
    2,198.30/3,291.05 = 2,134.30/x
  3. Step 3: Cross multiply
    2,198.30x = 3,291.05 × 2,134.30
  4. Step 4: Simplify right side
    2,198.30x = 7,024,088.02
  5. Step 5: Solve for x
    x = 7,024,088.02/2,198.30
  6. Step 6: Final answer
    x = 3,195.24

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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.