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Finding the Fourth Proportional to 1,896.09, 2,610.14 and 1,645.94

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Solution

The fourth proportional to 1,896.09, 2,610.14 and 1,645.94 is: 2,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.09 : 2,610.14 = 1,645.94 : x
  2. Step 2: Convert to fraction form
    1,896.09/2,610.14 = 1,645.94/x
  3. Step 3: Cross multiply
    1,896.09x = 2,610.14 × 1,645.94
  4. Step 4: Simplify right side
    1,896.09x = 4,296,112.55
  5. Step 5: Solve for x
    x = 4,296,112.55/1,896.09
  6. Step 6: Final answer
    x = 2,265.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.