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Finding the Fourth Proportional to 1,995.24, 2,753.84 and 1,156.14

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Solution

The fourth proportional to 1,995.24, 2,753.84 and 1,156.14 is: 1,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.24 : 2,753.84 = 1,156.14 : x
  2. Step 2: Convert to fraction form
    1,995.24/2,753.84 = 1,156.14/x
  3. Step 3: Cross multiply
    1,995.24x = 2,753.84 × 1,156.14
  4. Step 4: Simplify right side
    1,995.24x = 3,183,824.58
  5. Step 5: Solve for x
    x = 3,183,824.58/1,995.24
  6. Step 6: Final answer
    x = 1,595.71

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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.