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Finding the Fourth Proportional to 2,086.12, 3,128.13 and 853.03

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Solution

The fourth proportional to 2,086.12, 3,128.13 and 853.03 is: 1,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.12 : 3,128.13 = 853.03 : x
  2. Step 2: Convert to fraction form
    2,086.12/3,128.13 = 853.03/x
  3. Step 3: Cross multiply
    2,086.12x = 3,128.13 × 853.03
  4. Step 4: Simplify right side
    2,086.12x = 2,668,388.73
  5. Step 5: Solve for x
    x = 2,668,388.73/2,086.12
  6. Step 6: Final answer
    x = 1,279.12

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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.