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Finding the Fourth Proportional to 1,927, 2,659.28 and 1,099

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Solution

The fourth proportional to 1,927, 2,659.28 and 1,099 is: 1,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927 : 2,659.28 = 1,099 : x
  2. Step 2: Convert to fraction form
    1,927/2,659.28 = 1,099/x
  3. Step 3: Cross multiply
    1,927x = 2,659.28 × 1,099
  4. Step 4: Simplify right side
    1,927x = 2,922,548.72
  5. Step 5: Solve for x
    x = 2,922,548.72/1,927
  6. Step 6: Final answer
    x = 1,516.63

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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.