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Finding the Fourth Proportional to 2,827.94, 4,240.20 and 1,267.65

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Solution

The fourth proportional to 2,827.94, 4,240.20 and 1,267.65 is: 1,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.94 : 4,240.20 = 1,267.65 : x
  2. Step 2: Convert to fraction form
    2,827.94/4,240.20 = 1,267.65/x
  3. Step 3: Cross multiply
    2,827.94x = 4,240.20 × 1,267.65
  4. Step 4: Simplify right side
    2,827.94x = 5,375,102.64
  5. Step 5: Solve for x
    x = 5,375,102.64/2,827.94
  6. Step 6: Final answer
    x = 1,900.71

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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.