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Finding the Fourth Proportional to 2,334.33, 3,500.42 and 794.25

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Solution

The fourth proportional to 2,334.33, 3,500.42 and 794.25 is: 1,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.33 : 3,500.42 = 794.25 : x
  2. Step 2: Convert to fraction form
    2,334.33/3,500.42 = 794.25/x
  3. Step 3: Cross multiply
    2,334.33x = 3,500.42 × 794.25
  4. Step 4: Simplify right side
    2,334.33x = 2,780,204.61
  5. Step 5: Solve for x
    x = 2,780,204.61/2,334.33
  6. Step 6: Final answer
    x = 1,191.01

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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.