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Finding the Fourth Proportional to 2,785.82, 3,842.30 and 2,039.51

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Solution

The fourth proportional to 2,785.82, 3,842.30 and 2,039.51 is: 2,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.82 : 3,842.30 = 2,039.51 : x
  2. Step 2: Convert to fraction form
    2,785.82/3,842.30 = 2,039.51/x
  3. Step 3: Cross multiply
    2,785.82x = 3,842.30 × 2,039.51
  4. Step 4: Simplify right side
    2,785.82x = 7,836,423.98
  5. Step 5: Solve for x
    x = 7,836,423.98/2,785.82
  6. Step 6: Final answer
    x = 2,812.97

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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.