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Finding the Fourth Proportional to 1,798.44, 2,698.10 and 1,429.64

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Solution

The fourth proportional to 1,798.44, 2,698.10 and 1,429.64 is: 2,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.44 : 2,698.10 = 1,429.64 : x
  2. Step 2: Convert to fraction form
    1,798.44/2,698.10 = 1,429.64/x
  3. Step 3: Cross multiply
    1,798.44x = 2,698.10 × 1,429.64
  4. Step 4: Simplify right side
    1,798.44x = 3,857,291.05
  5. Step 5: Solve for x
    x = 3,857,291.05/1,798.44
  6. Step 6: Final answer
    x = 2,144.80

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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.