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Finding the Fourth Proportional to 4,628.26, 6,942.93 and 1,508.14

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Solution

The fourth proportional to 4,628.26, 6,942.93 and 1,508.14 is: 2,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.26 : 6,942.93 = 1,508.14 : x
  2. Step 2: Convert to fraction form
    4,628.26/6,942.93 = 1,508.14/x
  3. Step 3: Cross multiply
    4,628.26x = 6,942.93 × 1,508.14
  4. Step 4: Simplify right side
    4,628.26x = 10,470,910.45
  5. Step 5: Solve for x
    x = 10,470,910.45/4,628.26
  6. Step 6: Final answer
    x = 2,262.39

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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.