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Finding the Fourth Proportional to 3,277, 4,522.26 and 1,880.20

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Solution

The fourth proportional to 3,277, 4,522.26 and 1,880.20 is: 2,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277 : 4,522.26 = 1,880.20 : x
  2. Step 2: Convert to fraction form
    3,277/4,522.26 = 1,880.20/x
  3. Step 3: Cross multiply
    3,277x = 4,522.26 × 1,880.20
  4. Step 4: Simplify right side
    3,277x = 8,502,753.25
  5. Step 5: Solve for x
    x = 8,502,753.25/3,277
  6. Step 6: Final answer
    x = 2,594.68

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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.