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Finding the Fourth Proportional to 2,788.16, 4,181.92 and 736.32

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Solution

The fourth proportional to 2,788.16, 4,181.92 and 736.32 is: 1,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.16 : 4,181.92 = 736.32 : x
  2. Step 2: Convert to fraction form
    2,788.16/4,181.92 = 736.32/x
  3. Step 3: Cross multiply
    2,788.16x = 4,181.92 × 736.32
  4. Step 4: Simplify right side
    2,788.16x = 3,079,231.33
  5. Step 5: Solve for x
    x = 3,079,231.33/2,788.16
  6. Step 6: Final answer
    x = 1,104.40

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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.