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Finding the Fourth Proportional to 2,436.49, 3,654.75 and 793.18

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Solution

The fourth proportional to 2,436.49, 3,654.75 and 793.18 is: 1,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.49 : 3,654.75 = 793.18 : x
  2. Step 2: Convert to fraction form
    2,436.49/3,654.75 = 793.18/x
  3. Step 3: Cross multiply
    2,436.49x = 3,654.75 × 793.18
  4. Step 4: Simplify right side
    2,436.49x = 2,898,874.61
  5. Step 5: Solve for x
    x = 2,898,874.61/2,436.49
  6. Step 6: Final answer
    x = 1,189.77

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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.