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Finding the Fourth Proportional to 1,896.40, 2,617 and 1,110.48

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Solution

The fourth proportional to 1,896.40, 2,617 and 1,110.48 is: 1,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.40 : 2,617 = 1,110.48 : x
  2. Step 2: Convert to fraction form
    1,896.40/2,617 = 1,110.48/x
  3. Step 3: Cross multiply
    1,896.40x = 2,617 × 1,110.48
  4. Step 4: Simplify right side
    1,896.40x = 2,906,126.16
  5. Step 5: Solve for x
    x = 2,906,126.16/1,896.40
  6. Step 6: Final answer
    x = 1,532.44

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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.