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Finding the Fourth Proportional to 2,005.86, 3,003.93 and 1,354.62

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Solution

The fourth proportional to 2,005.86, 3,003.93 and 1,354.62 is: 2,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.86 : 3,003.93 = 1,354.62 : x
  2. Step 2: Convert to fraction form
    2,005.86/3,003.93 = 1,354.62/x
  3. Step 3: Cross multiply
    2,005.86x = 3,003.93 × 1,354.62
  4. Step 4: Simplify right side
    2,005.86x = 4,069,183.66
  5. Step 5: Solve for x
    x = 4,069,183.66/2,005.86
  6. Step 6: Final answer
    x = 2,028.65

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