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Finding the Fourth Proportional to 2,233.85, 3,350.32 and 846.71

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Solution

The fourth proportional to 2,233.85, 3,350.32 and 846.71 is: 1,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.85 : 3,350.32 = 846.71 : x
  2. Step 2: Convert to fraction form
    2,233.85/3,350.32 = 846.71/x
  3. Step 3: Cross multiply
    2,233.85x = 3,350.32 × 846.71
  4. Step 4: Simplify right side
    2,233.85x = 2,836,749.45
  5. Step 5: Solve for x
    x = 2,836,749.45/2,233.85
  6. Step 6: Final answer
    x = 1,269.89

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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.