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Finding the Fourth Proportional to 2,233.34, 3,350.16 and 846.41

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Solution

The fourth proportional to 2,233.34, 3,350.16 and 846.41 is: 1,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.34 : 3,350.16 = 846.41 : x
  2. Step 2: Convert to fraction form
    2,233.34/3,350.16 = 846.41/x
  3. Step 3: Cross multiply
    2,233.34x = 3,350.16 × 846.41
  4. Step 4: Simplify right side
    2,233.34x = 2,835,608.93
  5. Step 5: Solve for x
    x = 2,835,608.93/2,233.34
  6. Step 6: Final answer
    x = 1,269.67

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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.