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Finding the Fourth Proportional to 1,608.34, 2,412.16 and 940.78

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Solution

The fourth proportional to 1,608.34, 2,412.16 and 940.78 is: 1,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.34 : 2,412.16 = 940.78 : x
  2. Step 2: Convert to fraction form
    1,608.34/2,412.16 = 940.78/x
  3. Step 3: Cross multiply
    1,608.34x = 2,412.16 × 940.78
  4. Step 4: Simplify right side
    1,608.34x = 2,269,311.88
  5. Step 5: Solve for x
    x = 2,269,311.88/1,608.34
  6. Step 6: Final answer
    x = 1,410.97

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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.