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Finding the Fourth Proportional to 2,052.84, 3,081.09 and 957.83

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Solution

The fourth proportional to 2,052.84, 3,081.09 and 957.83 is: 1,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 3,081.09 = 957.83 : x
  2. Step 2: Convert to fraction form
    2,052.84/3,081.09 = 957.83/x
  3. Step 3: Cross multiply
    2,052.84x = 3,081.09 × 957.83
  4. Step 4: Simplify right side
    2,052.84x = 2,951,145.03
  5. Step 5: Solve for x
    x = 2,951,145.03/2,052.84
  6. Step 6: Final answer
    x = 1,437.59

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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.