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Finding the Fourth Proportional to 2,036.74, 3,049.15 and 1,842.19

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Solution

The fourth proportional to 2,036.74, 3,049.15 and 1,842.19 is: 2,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.74 : 3,049.15 = 1,842.19 : x
  2. Step 2: Convert to fraction form
    2,036.74/3,049.15 = 1,842.19/x
  3. Step 3: Cross multiply
    2,036.74x = 3,049.15 × 1,842.19
  4. Step 4: Simplify right side
    2,036.74x = 5,617,113.64
  5. Step 5: Solve for x
    x = 5,617,113.64/2,036.74
  6. Step 6: Final answer
    x = 2,757.89

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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.