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Finding the Fourth Proportional to 2,842.82, 3,921.59 and 1,957.09

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Solution

The fourth proportional to 2,842.82, 3,921.59 and 1,957.09 is: 2,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.82 : 3,921.59 = 1,957.09 : x
  2. Step 2: Convert to fraction form
    2,842.82/3,921.59 = 1,957.09/x
  3. Step 3: Cross multiply
    2,842.82x = 3,921.59 × 1,957.09
  4. Step 4: Simplify right side
    2,842.82x = 7,674,904.57
  5. Step 5: Solve for x
    x = 7,674,904.57/2,842.82
  6. Step 6: Final answer
    x = 2,699.75

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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.