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Finding the Fourth Proportional to 2,702.88, 3,729.97 and 1,460.88

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Solution

The fourth proportional to 2,702.88, 3,729.97 and 1,460.88 is: 2,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.88 : 3,729.97 = 1,460.88 : x
  2. Step 2: Convert to fraction form
    2,702.88/3,729.97 = 1,460.88/x
  3. Step 3: Cross multiply
    2,702.88x = 3,729.97 × 1,460.88
  4. Step 4: Simplify right side
    2,702.88x = 5,449,019.92
  5. Step 5: Solve for x
    x = 5,449,019.92/2,702.88
  6. Step 6: Final answer
    x = 2,016.01

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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.