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Finding the Fourth Proportional to 1,995.02, 2,753.14 and 1,098.86

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Solution

The fourth proportional to 1,995.02, 2,753.14 and 1,098.86 is: 1,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.02 : 2,753.14 = 1,098.86 : x
  2. Step 2: Convert to fraction form
    1,995.02/2,753.14 = 1,098.86/x
  3. Step 3: Cross multiply
    1,995.02x = 2,753.14 × 1,098.86
  4. Step 4: Simplify right side
    1,995.02x = 3,025,298.91
  5. Step 5: Solve for x
    x = 3,025,298.91/1,995.02
  6. Step 6: Final answer
    x = 1,516.43

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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.