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Finding the Fourth Proportional to 1,616.42, 2,229.83 and 1,026.34

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Solution

The fourth proportional to 1,616.42, 2,229.83 and 1,026.34 is: 1,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.42 : 2,229.83 = 1,026.34 : x
  2. Step 2: Convert to fraction form
    1,616.42/2,229.83 = 1,026.34/x
  3. Step 3: Cross multiply
    1,616.42x = 2,229.83 × 1,026.34
  4. Step 4: Simplify right side
    1,616.42x = 2,288,556.86
  5. Step 5: Solve for x
    x = 2,288,556.86/1,616.42
  6. Step 6: Final answer
    x = 1,415.82

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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.