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Finding the Fourth Proportional to 2,842.79, 3,921.22 and 1,835.78

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Solution

The fourth proportional to 2,842.79, 3,921.22 and 1,835.78 is: 2,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.79 : 3,921.22 = 1,835.78 : x
  2. Step 2: Convert to fraction form
    2,842.79/3,921.22 = 1,835.78/x
  3. Step 3: Cross multiply
    2,842.79x = 3,921.22 × 1,835.78
  4. Step 4: Simplify right side
    2,842.79x = 7,198,497.25
  5. Step 5: Solve for x
    x = 7,198,497.25/2,842.79
  6. Step 6: Final answer
    x = 2,532.19

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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.