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Finding the Fourth Proportional to 2,842.48, 3,923.94 and 2,003.86

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Solution

The fourth proportional to 2,842.48, 3,923.94 and 2,003.86 is: 2,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.48 : 3,923.94 = 2,003.86 : x
  2. Step 2: Convert to fraction form
    2,842.48/3,923.94 = 2,003.86/x
  3. Step 3: Cross multiply
    2,842.48x = 3,923.94 × 2,003.86
  4. Step 4: Simplify right side
    2,842.48x = 7,863,026.41
  5. Step 5: Solve for x
    x = 7,863,026.41/2,842.48
  6. Step 6: Final answer
    x = 2,766.26

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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.