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Finding the Fourth Proportional to 2,066.83, 3,083.48 and 1,897.49

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Solution

The fourth proportional to 2,066.83, 3,083.48 and 1,897.49 is: 2,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.83 : 3,083.48 = 1,897.49 : x
  2. Step 2: Convert to fraction form
    2,066.83/3,083.48 = 1,897.49/x
  3. Step 3: Cross multiply
    2,066.83x = 3,083.48 × 1,897.49
  4. Step 4: Simplify right side
    2,066.83x = 5,850,847.56
  5. Step 5: Solve for x
    x = 5,850,847.56/2,066.83
  6. Step 6: Final answer
    x = 2,830.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.