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Finding the Fourth Proportional to 3,039.92, 4,556.57 and 2,000.63

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Solution

The fourth proportional to 3,039.92, 4,556.57 and 2,000.63 is: 2,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.92 : 4,556.57 = 2,000.63 : x
  2. Step 2: Convert to fraction form
    3,039.92/4,556.57 = 2,000.63/x
  3. Step 3: Cross multiply
    3,039.92x = 4,556.57 × 2,000.63
  4. Step 4: Simplify right side
    3,039.92x = 9,116,012.03
  5. Step 5: Solve for x
    x = 9,116,012.03/3,039.92
  6. Step 6: Final answer
    x = 2,998.77

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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.