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Finding the Fourth Proportional to 1,896.34, 2,617.08 and 1,110.64

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Solution

The fourth proportional to 1,896.34, 2,617.08 and 1,110.64 is: 1,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.34 : 2,617.08 = 1,110.64 : x
  2. Step 2: Convert to fraction form
    1,896.34/2,617.08 = 1,110.64/x
  3. Step 3: Cross multiply
    1,896.34x = 2,617.08 × 1,110.64
  4. Step 4: Simplify right side
    1,896.34x = 2,906,633.73
  5. Step 5: Solve for x
    x = 2,906,633.73/1,896.34
  6. Step 6: Final answer
    x = 1,532.76

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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.