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Finding the Fourth Proportional to 2,698.82, 3,700.08 and 2,649.62

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Solution

The fourth proportional to 2,698.82, 3,700.08 and 2,649.62 is: 3,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.82 : 3,700.08 = 2,649.62 : x
  2. Step 2: Convert to fraction form
    2,698.82/3,700.08 = 2,649.62/x
  3. Step 3: Cross multiply
    2,698.82x = 3,700.08 × 2,649.62
  4. Step 4: Simplify right side
    2,698.82x = 9,803,805.97
  5. Step 5: Solve for x
    x = 9,803,805.97/2,698.82
  6. Step 6: Final answer
    x = 3,632.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.