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Finding the Fourth Proportional to 2,233.62, 3,349.74 and 845.94

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Solution

The fourth proportional to 2,233.62, 3,349.74 and 845.94 is: 1,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.62 : 3,349.74 = 845.94 : x
  2. Step 2: Convert to fraction form
    2,233.62/3,349.74 = 845.94/x
  3. Step 3: Cross multiply
    2,233.62x = 3,349.74 × 845.94
  4. Step 4: Simplify right side
    2,233.62x = 2,833,679.06
  5. Step 5: Solve for x
    x = 2,833,679.06/2,233.62
  6. Step 6: Final answer
    x = 1,268.65

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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.