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Finding the Fourth Proportional to 2,436.44, 3,653.43 and 792.77

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Solution

The fourth proportional to 2,436.44, 3,653.43 and 792.77 is: 1,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.44 : 3,653.43 = 792.77 : x
  2. Step 2: Convert to fraction form
    2,436.44/3,653.43 = 792.77/x
  3. Step 3: Cross multiply
    2,436.44x = 3,653.43 × 792.77
  4. Step 4: Simplify right side
    2,436.44x = 2,896,311.43
  5. Step 5: Solve for x
    x = 2,896,311.43/2,436.44
  6. Step 6: Final answer
    x = 1,188.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.