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Finding the Fourth Proportional to 2,086.10, 3,128.99 and 853.17

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Solution

The fourth proportional to 2,086.10, 3,128.99 and 853.17 is: 1,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.10 : 3,128.99 = 853.17 : x
  2. Step 2: Convert to fraction form
    2,086.10/3,128.99 = 853.17/x
  3. Step 3: Cross multiply
    2,086.10x = 3,128.99 × 853.17
  4. Step 4: Simplify right side
    2,086.10x = 2,669,556.13
  5. Step 5: Solve for x
    x = 2,669,556.13/2,086.10
  6. Step 6: Final answer
    x = 1,279.69

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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.