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Finding the Fourth Proportional to 2,094.33, 3,142.71 and 940.08

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Solution

The fourth proportional to 2,094.33, 3,142.71 and 940.08 is: 1,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.33 : 3,142.71 = 940.08 : x
  2. Step 2: Convert to fraction form
    2,094.33/3,142.71 = 940.08/x
  3. Step 3: Cross multiply
    2,094.33x = 3,142.71 × 940.08
  4. Step 4: Simplify right side
    2,094.33x = 2,954,398.82
  5. Step 5: Solve for x
    x = 2,954,398.82/2,094.33
  6. Step 6: Final answer
    x = 1,410.67

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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.