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Finding the Fourth Proportional to 2,134.46, 3,198.90 and 1,210.43

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Solution

The fourth proportional to 2,134.46, 3,198.90 and 1,210.43 is: 1,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.46 : 3,198.90 = 1,210.43 : x
  2. Step 2: Convert to fraction form
    2,134.46/3,198.90 = 1,210.43/x
  3. Step 3: Cross multiply
    2,134.46x = 3,198.90 × 1,210.43
  4. Step 4: Simplify right side
    2,134.46x = 3,872,044.53
  5. Step 5: Solve for x
    x = 3,872,044.53/2,134.46
  6. Step 6: Final answer
    x = 1,814.06

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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.