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Finding the Fourth Proportional to 2,702.62, 4,046.62 and 1,725.76

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Solution

The fourth proportional to 2,702.62, 4,046.62 and 1,725.76 is: 2,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.62 : 4,046.62 = 1,725.76 : x
  2. Step 2: Convert to fraction form
    2,702.62/4,046.62 = 1,725.76/x
  3. Step 3: Cross multiply
    2,702.62x = 4,046.62 × 1,725.76
  4. Step 4: Simplify right side
    2,702.62x = 6,983,494.93
  5. Step 5: Solve for x
    x = 6,983,494.93/2,702.62
  6. Step 6: Final answer
    x = 2,583.97

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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.