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Finding the Fourth Proportional to 2,842.26, 4,263.30 and 2,005.86

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Solution

The fourth proportional to 2,842.26, 4,263.30 and 2,005.86 is: 3,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.26 : 4,263.30 = 2,005.86 : x
  2. Step 2: Convert to fraction form
    2,842.26/4,263.30 = 2,005.86/x
  3. Step 3: Cross multiply
    2,842.26x = 4,263.30 × 2,005.86
  4. Step 4: Simplify right side
    2,842.26x = 8,551,582.94
  5. Step 5: Solve for x
    x = 8,551,582.94/2,842.26
  6. Step 6: Final answer
    x = 3,008.73

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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.