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Finding the Fourth Proportional to 2,159.40, 3,231.90 and 1,900.20

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Solution

The fourth proportional to 2,159.40, 3,231.90 and 1,900.20 is: 2,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,231.90 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,231.90 = 1,900.20/x
  3. Step 3: Cross multiply
    2,159.40x = 3,231.90 × 1,900.20
  4. Step 4: Simplify right side
    2,159.40x = 6,141,256.38
  5. Step 5: Solve for x
    x = 6,141,256.38/2,159.40
  6. Step 6: Final answer
    x = 2,843.96

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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.