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Finding the Fourth Proportional to 1,896.58, 2,617.77 and 1,235.08

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Solution

The fourth proportional to 1,896.58, 2,617.77 and 1,235.08 is: 1,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.58 : 2,617.77 = 1,235.08 : x
  2. Step 2: Convert to fraction form
    1,896.58/2,617.77 = 1,235.08/x
  3. Step 3: Cross multiply
    1,896.58x = 2,617.77 × 1,235.08
  4. Step 4: Simplify right side
    1,896.58x = 3,233,155.37
  5. Step 5: Solve for x
    x = 3,233,155.37/1,896.58
  6. Step 6: Final answer
    x = 1,704.73

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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.