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Finding the Fourth Proportional to 2,776.73, 3,830.12 and 2,112.13

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Solution

The fourth proportional to 2,776.73, 3,830.12 and 2,112.13 is: 2,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.73 : 3,830.12 = 2,112.13 : x
  2. Step 2: Convert to fraction form
    2,776.73/3,830.12 = 2,112.13/x
  3. Step 3: Cross multiply
    2,776.73x = 3,830.12 × 2,112.13
  4. Step 4: Simplify right side
    2,776.73x = 8,089,692.21
  5. Step 5: Solve for x
    x = 8,089,692.21/2,776.73
  6. Step 6: Final answer
    x = 2,913.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.