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Finding the Fourth Proportional to 1,995.97, 2,754.28 and 1,145.31

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Solution

The fourth proportional to 1,995.97, 2,754.28 and 1,145.31 is: 1,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.97 : 2,754.28 = 1,145.31 : x
  2. Step 2: Convert to fraction form
    1,995.97/2,754.28 = 1,145.31/x
  3. Step 3: Cross multiply
    1,995.97x = 2,754.28 × 1,145.31
  4. Step 4: Simplify right side
    1,995.97x = 3,154,515.55
  5. Step 5: Solve for x
    x = 3,154,515.55/1,995.97
  6. Step 6: Final answer
    x = 1,580.45

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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.