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Finding the Fourth Proportional to 2,554.32, 3,832.19 and 911.03

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Solution

The fourth proportional to 2,554.32, 3,832.19 and 911.03 is: 1,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.32 : 3,832.19 = 911.03 : x
  2. Step 2: Convert to fraction form
    2,554.32/3,832.19 = 911.03/x
  3. Step 3: Cross multiply
    2,554.32x = 3,832.19 × 911.03
  4. Step 4: Simplify right side
    2,554.32x = 3,491,216.34
  5. Step 5: Solve for x
    x = 3,491,216.34/2,554.32
  6. Step 6: Final answer
    x = 1,366.79

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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.