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Finding the Fourth Proportional to 1,612.31, 2,416.94 and 791.27

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Solution

The fourth proportional to 1,612.31, 2,416.94 and 791.27 is: 1,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.31 : 2,416.94 = 791.27 : x
  2. Step 2: Convert to fraction form
    1,612.31/2,416.94 = 791.27/x
  3. Step 3: Cross multiply
    1,612.31x = 2,416.94 × 791.27
  4. Step 4: Simplify right side
    1,612.31x = 1,912,448.10
  5. Step 5: Solve for x
    x = 1,912,448.10/1,612.31
  6. Step 6: Final answer
    x = 1,186.16

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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.