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Finding the Fourth Proportional to 1,995.34, 2,991.36 and 954.82

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Solution

The fourth proportional to 1,995.34, 2,991.36 and 954.82 is: 1,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.34 : 2,991.36 = 954.82 : x
  2. Step 2: Convert to fraction form
    1,995.34/2,991.36 = 954.82/x
  3. Step 3: Cross multiply
    1,995.34x = 2,991.36 × 954.82
  4. Step 4: Simplify right side
    1,995.34x = 2,856,210.36
  5. Step 5: Solve for x
    x = 2,856,210.36/1,995.34
  6. Step 6: Final answer
    x = 1,431.44

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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.