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Finding the Fourth Proportional to 1,469.20, 2,203.10 and 853.09

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Solution

The fourth proportional to 1,469.20, 2,203.10 and 853.09 is: 1,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.20 : 2,203.10 = 853.09 : x
  2. Step 2: Convert to fraction form
    1,469.20/2,203.10 = 853.09/x
  3. Step 3: Cross multiply
    1,469.20x = 2,203.10 × 853.09
  4. Step 4: Simplify right side
    1,469.20x = 1,879,442.58
  5. Step 5: Solve for x
    x = 1,879,442.58/1,469.20
  6. Step 6: Final answer
    x = 1,279.23

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