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Finding the Fourth Proportional to 3,277.25, 4,522.74 and 1,880

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Solution

The fourth proportional to 3,277.25, 4,522.74 and 1,880 is: 2,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.25 : 4,522.74 = 1,880 : x
  2. Step 2: Convert to fraction form
    3,277.25/4,522.74 = 1,880/x
  3. Step 3: Cross multiply
    3,277.25x = 4,522.74 × 1,880
  4. Step 4: Simplify right side
    3,277.25x = 8,502,751.20
  5. Step 5: Solve for x
    x = 8,502,751.20/3,277.25
  6. Step 6: Final answer
    x = 2,594.48

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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.