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Finding the Fourth Proportional to 2,433.42, 3,649.72 and 791.16

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Solution

The fourth proportional to 2,433.42, 3,649.72 and 791.16 is: 1,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.42 : 3,649.72 = 791.16 : x
  2. Step 2: Convert to fraction form
    2,433.42/3,649.72 = 791.16/x
  3. Step 3: Cross multiply
    2,433.42x = 3,649.72 × 791.16
  4. Step 4: Simplify right side
    2,433.42x = 2,887,512.48
  5. Step 5: Solve for x
    x = 2,887,512.48/2,433.42
  6. Step 6: Final answer
    x = 1,186.61

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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.