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Finding the Fourth Proportional to 2,800.76, 4,201.86 and 853.16

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Solution

The fourth proportional to 2,800.76, 4,201.86 and 853.16 is: 1,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.76 : 4,201.86 = 853.16 : x
  2. Step 2: Convert to fraction form
    2,800.76/4,201.86 = 853.16/x
  3. Step 3: Cross multiply
    2,800.76x = 4,201.86 × 853.16
  4. Step 4: Simplify right side
    2,800.76x = 3,584,858.88
  5. Step 5: Solve for x
    x = 3,584,858.88/2,800.76
  6. Step 6: Final answer
    x = 1,279.96

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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.