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Finding the Fourth Proportional to 1,995.46, 2,753.64 and 1,099.17

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Solution

The fourth proportional to 1,995.46, 2,753.64 and 1,099.17 is: 1,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.46 : 2,753.64 = 1,099.17 : x
  2. Step 2: Convert to fraction form
    1,995.46/2,753.64 = 1,099.17/x
  3. Step 3: Cross multiply
    1,995.46x = 2,753.64 × 1,099.17
  4. Step 4: Simplify right side
    1,995.46x = 3,026,718.48
  5. Step 5: Solve for x
    x = 3,026,718.48/1,995.46
  6. Step 6: Final answer
    x = 1,516.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.