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Finding the Fourth Proportional to 2,768.91, 4,143.03 and 1,674.06

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Solution

The fourth proportional to 2,768.91, 4,143.03 and 1,674.06 is: 2,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.91 : 4,143.03 = 1,674.06 : x
  2. Step 2: Convert to fraction form
    2,768.91/4,143.03 = 1,674.06/x
  3. Step 3: Cross multiply
    2,768.91x = 4,143.03 × 1,674.06
  4. Step 4: Simplify right side
    2,768.91x = 6,935,680.80
  5. Step 5: Solve for x
    x = 6,935,680.80/2,768.91
  6. Step 6: Final answer
    x = 2,504.84

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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.