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Finding the Fourth Proportional to 2,828.09, 4,240.60 and 853.45

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Solution

The fourth proportional to 2,828.09, 4,240.60 and 853.45 is: 1,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.09 : 4,240.60 = 853.45 : x
  2. Step 2: Convert to fraction form
    2,828.09/4,240.60 = 853.45/x
  3. Step 3: Cross multiply
    2,828.09x = 4,240.60 × 853.45
  4. Step 4: Simplify right side
    2,828.09x = 3,619,140.07
  5. Step 5: Solve for x
    x = 3,619,140.07/2,828.09
  6. Step 6: Final answer
    x = 1,279.71

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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.