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Finding the Fourth Proportional to 2,049.36, 3,089.04 and 1,874.06

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Solution

The fourth proportional to 2,049.36, 3,089.04 and 1,874.06 is: 2,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.36 : 3,089.04 = 1,874.06 : x
  2. Step 2: Convert to fraction form
    2,049.36/3,089.04 = 1,874.06/x
  3. Step 3: Cross multiply
    2,049.36x = 3,089.04 × 1,874.06
  4. Step 4: Simplify right side
    2,049.36x = 5,789,054.03
  5. Step 5: Solve for x
    x = 5,789,054.03/2,049.36
  6. Step 6: Final answer
    x = 2,824.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.