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Finding the Fourth Proportional to 2,777.23, 3,830.81 and 2,112.63

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Solution

The fourth proportional to 2,777.23, 3,830.81 and 2,112.63 is: 2,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.23 : 3,830.81 = 2,112.63 : x
  2. Step 2: Convert to fraction form
    2,777.23/3,830.81 = 2,112.63/x
  3. Step 3: Cross multiply
    2,777.23x = 3,830.81 × 2,112.63
  4. Step 4: Simplify right side
    2,777.23x = 8,093,084.13
  5. Step 5: Solve for x
    x = 8,093,084.13/2,777.23
  6. Step 6: Final answer
    x = 2,914.08

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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.