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Finding the Fourth Proportional to 2,149.40, 3,216.90 and 1,890.20

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Solution

The fourth proportional to 2,149.40, 3,216.90 and 1,890.20 is: 2,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.40 : 3,216.90 = 1,890.20 : x
  2. Step 2: Convert to fraction form
    2,149.40/3,216.90 = 1,890.20/x
  3. Step 3: Cross multiply
    2,149.40x = 3,216.90 × 1,890.20
  4. Step 4: Simplify right side
    2,149.40x = 6,080,584.38
  5. Step 5: Solve for x
    x = 6,080,584.38/2,149.40
  6. Step 6: Final answer
    x = 2,828.97

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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.