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Finding the Fourth Proportional to 2,436.23, 3,652.10 and 791.93

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Solution

The fourth proportional to 2,436.23, 3,652.10 and 791.93 is: 1,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.23 : 3,652.10 = 791.93 : x
  2. Step 2: Convert to fraction form
    2,436.23/3,652.10 = 791.93/x
  3. Step 3: Cross multiply
    2,436.23x = 3,652.10 × 791.93
  4. Step 4: Simplify right side
    2,436.23x = 2,892,207.55
  5. Step 5: Solve for x
    x = 2,892,207.55/2,436.23
  6. Step 6: Final answer
    x = 1,187.17

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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.