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Finding the Fourth Proportional to 2,874.75, 4,313.59 and 1,230.85

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Solution

The fourth proportional to 2,874.75, 4,313.59 and 1,230.85 is: 1,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.75 : 4,313.59 = 1,230.85 : x
  2. Step 2: Convert to fraction form
    2,874.75/4,313.59 = 1,230.85/x
  3. Step 3: Cross multiply
    2,874.75x = 4,313.59 × 1,230.85
  4. Step 4: Simplify right side
    2,874.75x = 5,309,384.57
  5. Step 5: Solve for x
    x = 5,309,384.57/2,874.75
  6. Step 6: Final answer
    x = 1,846.91

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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.