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Finding the Fourth Proportional to 2,842.35, 3,923.28 and 1,847.73

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Solution

The fourth proportional to 2,842.35, 3,923.28 and 1,847.73 is: 2,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.35 : 3,923.28 = 1,847.73 : x
  2. Step 2: Convert to fraction form
    2,842.35/3,923.28 = 1,847.73/x
  3. Step 3: Cross multiply
    2,842.35x = 3,923.28 × 1,847.73
  4. Step 4: Simplify right side
    2,842.35x = 7,249,162.15
  5. Step 5: Solve for x
    x = 7,249,162.15/2,842.35
  6. Step 6: Final answer
    x = 2,550.41

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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.