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Finding the Fourth Proportional to 2,702.76, 3,727.90 and 2,612.44

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Solution

The fourth proportional to 2,702.76, 3,727.90 and 2,612.44 is: 3,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.76 : 3,727.90 = 2,612.44 : x
  2. Step 2: Convert to fraction form
    2,702.76/3,727.90 = 2,612.44/x
  3. Step 3: Cross multiply
    2,702.76x = 3,727.90 × 2,612.44
  4. Step 4: Simplify right side
    2,702.76x = 9,738,915.08
  5. Step 5: Solve for x
    x = 9,738,915.08/2,702.76
  6. Step 6: Final answer
    x = 3,603.32

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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.