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Finding the Fourth Proportional to 2,436.36, 3,653.76 and 792.56

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Solution

The fourth proportional to 2,436.36, 3,653.76 and 792.56 is: 1,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.36 : 3,653.76 = 792.56 : x
  2. Step 2: Convert to fraction form
    2,436.36/3,653.76 = 792.56/x
  3. Step 3: Cross multiply
    2,436.36x = 3,653.76 × 792.56
  4. Step 4: Simplify right side
    2,436.36x = 2,895,824.03
  5. Step 5: Solve for x
    x = 2,895,824.03/2,436.36
  6. Step 6: Final answer
    x = 1,188.59

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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.