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Finding the Fourth Proportional to 1,896.74, 2,830.27 and 1,699.73

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Solution

The fourth proportional to 1,896.74, 2,830.27 and 1,699.73 is: 2,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.74 : 2,830.27 = 1,699.73 : x
  2. Step 2: Convert to fraction form
    1,896.74/2,830.27 = 1,699.73/x
  3. Step 3: Cross multiply
    1,896.74x = 2,830.27 × 1,699.73
  4. Step 4: Simplify right side
    1,896.74x = 4,810,686.33
  5. Step 5: Solve for x
    x = 4,810,686.33/1,896.74
  6. Step 6: Final answer
    x = 2,536.29

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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.