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Finding the Fourth Proportional to 1,798.97, 2,698.45 and 1,469.55

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Solution

The fourth proportional to 1,798.97, 2,698.45 and 1,469.55 is: 2,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.97 : 2,698.45 = 1,469.55 : x
  2. Step 2: Convert to fraction form
    1,798.97/2,698.45 = 1,469.55/x
  3. Step 3: Cross multiply
    1,798.97x = 2,698.45 × 1,469.55
  4. Step 4: Simplify right side
    1,798.97x = 3,965,507.20
  5. Step 5: Solve for x
    x = 3,965,507.20/1,798.97
  6. Step 6: Final answer
    x = 2,204.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.