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Finding the Fourth Proportional to 2,842.07, 3,920.56 and 1,956.34

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Solution

The fourth proportional to 2,842.07, 3,920.56 and 1,956.34 is: 2,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.07 : 3,920.56 = 1,956.34 : x
  2. Step 2: Convert to fraction form
    2,842.07/3,920.56 = 1,956.34/x
  3. Step 3: Cross multiply
    2,842.07x = 3,920.56 × 1,956.34
  4. Step 4: Simplify right side
    2,842.07x = 7,669,918.97
  5. Step 5: Solve for x
    x = 7,669,918.97/2,842.07
  6. Step 6: Final answer
    x = 2,698.71

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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.