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Finding the Fourth Proportional to 2,623.59, 3,930.84 and 1,842.11

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Solution

The fourth proportional to 2,623.59, 3,930.84 and 1,842.11 is: 2,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.59 : 3,930.84 = 1,842.11 : x
  2. Step 2: Convert to fraction form
    2,623.59/3,930.84 = 1,842.11/x
  3. Step 3: Cross multiply
    2,623.59x = 3,930.84 × 1,842.11
  4. Step 4: Simplify right side
    2,623.59x = 7,241,020.02
  5. Step 5: Solve for x
    x = 7,241,020.02/2,623.59
  6. Step 6: Final answer
    x = 2,759.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.