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Finding the Fourth Proportional to 2,083.05, 3,122.19 and 985.86

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Solution

The fourth proportional to 2,083.05, 3,122.19 and 985.86 is: 1,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.05 : 3,122.19 = 985.86 : x
  2. Step 2: Convert to fraction form
    2,083.05/3,122.19 = 985.86/x
  3. Step 3: Cross multiply
    2,083.05x = 3,122.19 × 985.86
  4. Step 4: Simplify right side
    2,083.05x = 3,078,042.23
  5. Step 5: Solve for x
    x = 3,078,042.23/2,083.05
  6. Step 6: Final answer
    x = 1,477.66

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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.