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Finding the Fourth Proportional to 1,305.82, 1,955.22 and 1,099.90

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Solution

The fourth proportional to 1,305.82, 1,955.22 and 1,099.90 is: 1,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.82 : 1,955.22 = 1,099.90 : x
  2. Step 2: Convert to fraction form
    1,305.82/1,955.22 = 1,099.90/x
  3. Step 3: Cross multiply
    1,305.82x = 1,955.22 × 1,099.90
  4. Step 4: Simplify right side
    1,305.82x = 2,150,546.48
  5. Step 5: Solve for x
    x = 2,150,546.48/1,305.82
  6. Step 6: Final answer
    x = 1,646.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.