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Finding the Fourth Proportional to 2,272.04, 3,408.04 and 628.60

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Solution

The fourth proportional to 2,272.04, 3,408.04 and 628.60 is: 942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.04 : 3,408.04 = 628.60 : x
  2. Step 2: Convert to fraction form
    2,272.04/3,408.04 = 628.60/x
  3. Step 3: Cross multiply
    2,272.04x = 3,408.04 × 628.60
  4. Step 4: Simplify right side
    2,272.04x = 2,142,293.94
  5. Step 5: Solve for x
    x = 2,142,293.94/2,272.04
  6. Step 6: Final answer
    x = 942.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.