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Finding the Fourth Proportional to 2,019.46, 3,030.36 and 849.38

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Solution

The fourth proportional to 2,019.46, 3,030.36 and 849.38 is: 1,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.46 : 3,030.36 = 849.38 : x
  2. Step 2: Convert to fraction form
    2,019.46/3,030.36 = 849.38/x
  3. Step 3: Cross multiply
    2,019.46x = 3,030.36 × 849.38
  4. Step 4: Simplify right side
    2,019.46x = 2,573,912.03
  5. Step 5: Solve for x
    x = 2,573,912.03/2,019.46
  6. Step 6: Final answer
    x = 1,274.56

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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.