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Finding the Fourth Proportional to 2,101.73, 3,150.16 and 1,858.73

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Solution

The fourth proportional to 2,101.73, 3,150.16 and 1,858.73 is: 2,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.73 : 3,150.16 = 1,858.73 : x
  2. Step 2: Convert to fraction form
    2,101.73/3,150.16 = 1,858.73/x
  3. Step 3: Cross multiply
    2,101.73x = 3,150.16 × 1,858.73
  4. Step 4: Simplify right side
    2,101.73x = 5,855,296.90
  5. Step 5: Solve for x
    x = 5,855,296.90/2,101.73
  6. Step 6: Final answer
    x = 2,785.94

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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.