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Finding the Fourth Proportional to 2,433.43, 3,650.35 and 789.33

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Solution

The fourth proportional to 2,433.43, 3,650.35 and 789.33 is: 1,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.43 : 3,650.35 = 789.33 : x
  2. Step 2: Convert to fraction form
    2,433.43/3,650.35 = 789.33/x
  3. Step 3: Cross multiply
    2,433.43x = 3,650.35 × 789.33
  4. Step 4: Simplify right side
    2,433.43x = 2,881,330.77
  5. Step 5: Solve for x
    x = 2,881,330.77/2,433.43
  6. Step 6: Final answer
    x = 1,184.06

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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.