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Finding the Fourth Proportional to 2,834, 4,246.26 and 2,008.28

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Solution

The fourth proportional to 2,834, 4,246.26 and 2,008.28 is: 3,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 4,246.26 = 2,008.28 : x
  2. Step 2: Convert to fraction form
    2,834/4,246.26 = 2,008.28/x
  3. Step 3: Cross multiply
    2,834x = 4,246.26 × 2,008.28
  4. Step 4: Simplify right side
    2,834x = 8,527,679.03
  5. Step 5: Solve for x
    x = 8,527,679.03/2,834
  6. Step 6: Final answer
    x = 3,009.06

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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.