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Finding the Fourth Proportional to 2,702.62, 3,729.62 and 1,460.62

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Solution

The fourth proportional to 2,702.62, 3,729.62 and 1,460.62 is: 2,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.62 : 3,729.62 = 1,460.62 : x
  2. Step 2: Convert to fraction form
    2,702.62/3,729.62 = 1,460.62/x
  3. Step 3: Cross multiply
    2,702.62x = 3,729.62 × 1,460.62
  4. Step 4: Simplify right side
    2,702.62x = 5,447,557.56
  5. Step 5: Solve for x
    x = 5,447,557.56/2,702.62
  6. Step 6: Final answer
    x = 2,015.66

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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.