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Finding the Fourth Proportional to 2,052.98, 2,833.09 and 1,213.73

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Solution

The fourth proportional to 2,052.98, 2,833.09 and 1,213.73 is: 1,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.98 : 2,833.09 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    2,052.98/2,833.09 = 1,213.73/x
  3. Step 3: Cross multiply
    2,052.98x = 2,833.09 × 1,213.73
  4. Step 4: Simplify right side
    2,052.98x = 3,438,586.09
  5. Step 5: Solve for x
    x = 3,438,586.09/2,052.98
  6. Step 6: Final answer
    x = 1,674.93

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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.