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Finding the Fourth Proportional to 2,906.19, 4,010.62 and 1,711.24

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Solution

The fourth proportional to 2,906.19, 4,010.62 and 1,711.24 is: 2,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.19 : 4,010.62 = 1,711.24 : x
  2. Step 2: Convert to fraction form
    2,906.19/4,010.62 = 1,711.24/x
  3. Step 3: Cross multiply
    2,906.19x = 4,010.62 × 1,711.24
  4. Step 4: Simplify right side
    2,906.19x = 6,863,133.37
  5. Step 5: Solve for x
    x = 6,863,133.37/2,906.19
  6. Step 6: Final answer
    x = 2,361.56

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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.