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Finding the Fourth Proportional to 2,272.45, 3,409.08 and 628.96

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Solution

The fourth proportional to 2,272.45, 3,409.08 and 628.96 is: 943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.45 : 3,409.08 = 628.96 : x
  2. Step 2: Convert to fraction form
    2,272.45/3,409.08 = 628.96/x
  3. Step 3: Cross multiply
    2,272.45x = 3,409.08 × 628.96
  4. Step 4: Simplify right side
    2,272.45x = 2,144,174.96
  5. Step 5: Solve for x
    x = 2,144,174.96/2,272.45
  6. Step 6: Final answer
    x = 943.55

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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.