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Finding the Fourth Proportional to 2,110.05, 3,164.27 and 940.41

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Solution

The fourth proportional to 2,110.05, 3,164.27 and 940.41 is: 1,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.05 : 3,164.27 = 940.41 : x
  2. Step 2: Convert to fraction form
    2,110.05/3,164.27 = 940.41/x
  3. Step 3: Cross multiply
    2,110.05x = 3,164.27 × 940.41
  4. Step 4: Simplify right side
    2,110.05x = 2,975,706.45
  5. Step 5: Solve for x
    x = 2,975,706.45/2,110.05
  6. Step 6: Final answer
    x = 1,410.25

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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.