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Finding the Fourth Proportional to 1,800.27, 2,702.03 and 1,336.95

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Solution

The fourth proportional to 1,800.27, 2,702.03 and 1,336.95 is: 2,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.27 : 2,702.03 = 1,336.95 : x
  2. Step 2: Convert to fraction form
    1,800.27/2,702.03 = 1,336.95/x
  3. Step 3: Cross multiply
    1,800.27x = 2,702.03 × 1,336.95
  4. Step 4: Simplify right side
    1,800.27x = 3,612,472.32
  5. Step 5: Solve for x
    x = 3,612,472.32/1,800.27
  6. Step 6: Final answer
    x = 2,006.63

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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.