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Finding the Fourth Proportional to 2,551.28, 3,520.68 and 1,447.28

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Solution

The fourth proportional to 2,551.28, 3,520.68 and 1,447.28 is: 1,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.28 : 3,520.68 = 1,447.28 : x
  2. Step 2: Convert to fraction form
    2,551.28/3,520.68 = 1,447.28/x
  3. Step 3: Cross multiply
    2,551.28x = 3,520.68 × 1,447.28
  4. Step 4: Simplify right side
    2,551.28x = 5,095,409.75
  5. Step 5: Solve for x
    x = 5,095,409.75/2,551.28
  6. Step 6: Final answer
    x = 1,997.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.