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Finding the Fourth Proportional to 2,551.28, 3,828.22 and 1,164.42

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Solution

The fourth proportional to 2,551.28, 3,828.22 and 1,164.42 is: 1,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.28 : 3,828.22 = 1,164.42 : x
  2. Step 2: Convert to fraction form
    2,551.28/3,828.22 = 1,164.42/x
  3. Step 3: Cross multiply
    2,551.28x = 3,828.22 × 1,164.42
  4. Step 4: Simplify right side
    2,551.28x = 4,457,655.93
  5. Step 5: Solve for x
    x = 4,457,655.93/2,551.28
  6. Step 6: Final answer
    x = 1,747.22

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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.