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Finding the Fourth Proportional to 2,702.64, 3,729.69 and 1,640.43

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Solution

The fourth proportional to 2,702.64, 3,729.69 and 1,640.43 is: 2,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.64 : 3,729.69 = 1,640.43 : x
  2. Step 2: Convert to fraction form
    2,702.64/3,729.69 = 1,640.43/x
  3. Step 3: Cross multiply
    2,702.64x = 3,729.69 × 1,640.43
  4. Step 4: Simplify right side
    2,702.64x = 6,118,295.37
  5. Step 5: Solve for x
    x = 6,118,295.37/2,702.64
  6. Step 6: Final answer
    x = 2,263.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.