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Finding the Fourth Proportional to 4,628.34, 6,942.61 and 1,508.34

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Solution

The fourth proportional to 4,628.34, 6,942.61 and 1,508.34 is: 2,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.34 : 6,942.61 = 1,508.34 : x
  2. Step 2: Convert to fraction form
    4,628.34/6,942.61 = 1,508.34/x
  3. Step 3: Cross multiply
    4,628.34x = 6,942.61 × 1,508.34
  4. Step 4: Simplify right side
    4,628.34x = 10,471,816.37
  5. Step 5: Solve for x
    x = 10,471,816.37/4,628.34
  6. Step 6: Final answer
    x = 2,262.54

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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.