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Finding the Fourth Proportional to 1,801.99, 2,702.57 and 827.15

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Solution

The fourth proportional to 1,801.99, 2,702.57 and 827.15 is: 1,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.99 : 2,702.57 = 827.15 : x
  2. Step 2: Convert to fraction form
    1,801.99/2,702.57 = 827.15/x
  3. Step 3: Cross multiply
    1,801.99x = 2,702.57 × 827.15
  4. Step 4: Simplify right side
    1,801.99x = 2,235,439.60
  5. Step 5: Solve for x
    x = 2,235,439.60/1,801.99
  6. Step 6: Final answer
    x = 1,240.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.