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Finding the Fourth Proportional to 2,834.46, 4,252.47 and 2,017.94

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Solution

The fourth proportional to 2,834.46, 4,252.47 and 2,017.94 is: 3,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.46 : 4,252.47 = 2,017.94 : x
  2. Step 2: Convert to fraction form
    2,834.46/4,252.47 = 2,017.94/x
  3. Step 3: Cross multiply
    2,834.46x = 4,252.47 × 2,017.94
  4. Step 4: Simplify right side
    2,834.46x = 8,581,208.05
  5. Step 5: Solve for x
    x = 8,581,208.05/2,834.46
  6. Step 6: Final answer
    x = 3,027.46

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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.