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Finding the Fourth Proportional to 2,628.05, 3,942.07 and 985.37

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Solution

The fourth proportional to 2,628.05, 3,942.07 and 985.37 is: 1,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.05 : 3,942.07 = 985.37 : x
  2. Step 2: Convert to fraction form
    2,628.05/3,942.07 = 985.37/x
  3. Step 3: Cross multiply
    2,628.05x = 3,942.07 × 985.37
  4. Step 4: Simplify right side
    2,628.05x = 3,884,404.91
  5. Step 5: Solve for x
    x = 3,884,404.91/2,628.05
  6. Step 6: Final answer
    x = 1,478.05

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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.