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Finding the Fourth Proportional to 2,433.70, 3,649.33 and 1,201.69

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Solution

The fourth proportional to 2,433.70, 3,649.33 and 1,201.69 is: 1,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.70 : 3,649.33 = 1,201.69 : x
  2. Step 2: Convert to fraction form
    2,433.70/3,649.33 = 1,201.69/x
  3. Step 3: Cross multiply
    2,433.70x = 3,649.33 × 1,201.69
  4. Step 4: Simplify right side
    2,433.70x = 4,385,363.37
  5. Step 5: Solve for x
    x = 4,385,363.37/2,433.70
  6. Step 6: Final answer
    x = 1,801.93

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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.