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Finding the Fourth Proportional to 2,698.76, 3,722.38 and 2,608.44

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Solution

The fourth proportional to 2,698.76, 3,722.38 and 2,608.44 is: 3,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.76 : 3,722.38 = 2,608.44 : x
  2. Step 2: Convert to fraction form
    2,698.76/3,722.38 = 2,608.44/x
  3. Step 3: Cross multiply
    2,698.76x = 3,722.38 × 2,608.44
  4. Step 4: Simplify right side
    2,698.76x = 9,709,604.89
  5. Step 5: Solve for x
    x = 9,709,604.89/2,698.76
  6. Step 6: Final answer
    x = 3,597.80

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1.5x scale

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.