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Finding the Fourth Proportional to 2,107.80, 3,146.97 and 1,900.44

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Solution

The fourth proportional to 2,107.80, 3,146.97 and 1,900.44 is: 2,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.80 : 3,146.97 = 1,900.44 : x
  2. Step 2: Convert to fraction form
    2,107.80/3,146.97 = 1,900.44/x
  3. Step 3: Cross multiply
    2,107.80x = 3,146.97 × 1,900.44
  4. Step 4: Simplify right side
    2,107.80x = 5,980,627.67
  5. Step 5: Solve for x
    x = 5,980,627.67/2,107.80
  6. Step 6: Final answer
    x = 2,837.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.