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Finding the Fourth Proportional to 2,702.80, 3,729.28 and 1,640.32

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Solution

The fourth proportional to 2,702.80, 3,729.28 and 1,640.32 is: 2,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.80 : 3,729.28 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    2,702.80/3,729.28 = 1,640.32/x
  3. Step 3: Cross multiply
    2,702.80x = 3,729.28 × 1,640.32
  4. Step 4: Simplify right side
    2,702.80x = 6,117,212.57
  5. Step 5: Solve for x
    x = 6,117,212.57/2,702.80
  6. Step 6: Final answer
    x = 2,263.29

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1.5x scale

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.