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Finding the Fourth Proportional to 1,896.32, 2,616.81 and 1,110.26

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Solution

The fourth proportional to 1,896.32, 2,616.81 and 1,110.26 is: 1,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.32 : 2,616.81 = 1,110.26 : x
  2. Step 2: Convert to fraction form
    1,896.32/2,616.81 = 1,110.26/x
  3. Step 3: Cross multiply
    1,896.32x = 2,616.81 × 1,110.26
  4. Step 4: Simplify right side
    1,896.32x = 2,905,339.47
  5. Step 5: Solve for x
    x = 2,905,339.47/1,896.32
  6. Step 6: Final answer
    x = 1,532.09

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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.