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Finding the Fourth Proportional to 2,433.40, 3,649.18 and 789.52

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Solution

The fourth proportional to 2,433.40, 3,649.18 and 789.52 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.40 : 3,649.18 = 789.52 : x
  2. Step 2: Convert to fraction form
    2,433.40/3,649.18 = 789.52/x
  3. Step 3: Cross multiply
    2,433.40x = 3,649.18 × 789.52
  4. Step 4: Simplify right side
    2,433.40x = 2,881,100.59
  5. Step 5: Solve for x
    x = 2,881,100.59/2,433.40
  6. Step 6: Final answer
    x = 1,183.98

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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.