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Finding the Fourth Proportional to 1,995.36, 2,991.42 and 1,022.28

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Solution

The fourth proportional to 1,995.36, 2,991.42 and 1,022.28 is: 1,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.36 : 2,991.42 = 1,022.28 : x
  2. Step 2: Convert to fraction form
    1,995.36/2,991.42 = 1,022.28/x
  3. Step 3: Cross multiply
    1,995.36x = 2,991.42 × 1,022.28
  4. Step 4: Simplify right side
    1,995.36x = 3,058,068.84
  5. Step 5: Solve for x
    x = 3,058,068.84/1,995.36
  6. Step 6: Final answer
    x = 1,532.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.