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Finding the Fourth Proportional to 2,271.83, 3,408.14 and 628.34

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Solution

The fourth proportional to 2,271.83, 3,408.14 and 628.34 is: 942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.83 : 3,408.14 = 628.34 : x
  2. Step 2: Convert to fraction form
    2,271.83/3,408.14 = 628.34/x
  3. Step 3: Cross multiply
    2,271.83x = 3,408.14 × 628.34
  4. Step 4: Simplify right side
    2,271.83x = 2,141,455.22
  5. Step 5: Solve for x
    x = 2,141,455.22/2,271.83
  6. Step 6: Final answer
    x = 942.61

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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.