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Finding the Fourth Proportional to 2,285.27, 3,428.07 and 2,013.24

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Solution

The fourth proportional to 2,285.27, 3,428.07 and 2,013.24 is: 3,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.27 : 3,428.07 = 2,013.24 : x
  2. Step 2: Convert to fraction form
    2,285.27/3,428.07 = 2,013.24/x
  3. Step 3: Cross multiply
    2,285.27x = 3,428.07 × 2,013.24
  4. Step 4: Simplify right side
    2,285.27x = 6,901,527.65
  5. Step 5: Solve for x
    x = 6,901,527.65/2,285.27
  6. Step 6: Final answer
    x = 3,020.01

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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.