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Finding the Fourth Proportional to 2,776.98, 3,830.47 and 2,112.37

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Solution

The fourth proportional to 2,776.98, 3,830.47 and 2,112.37 is: 2,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.98 : 3,830.47 = 2,112.37 : x
  2. Step 2: Convert to fraction form
    2,776.98/3,830.47 = 2,112.37/x
  3. Step 3: Cross multiply
    2,776.98x = 3,830.47 × 2,112.37
  4. Step 4: Simplify right side
    2,776.98x = 8,091,369.91
  5. Step 5: Solve for x
    x = 8,091,369.91/2,776.98
  6. Step 6: Final answer
    x = 2,913.73

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