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Finding the Fourth Proportional to 2,000.30, 2,996.06 and 1,649.69

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Solution

The fourth proportional to 2,000.30, 2,996.06 and 1,649.69 is: 2,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,996.06 = 1,649.69 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,996.06 = 1,649.69/x
  3. Step 3: Cross multiply
    2,000.30x = 2,996.06 × 1,649.69
  4. Step 4: Simplify right side
    2,000.30x = 4,942,559.37
  5. Step 5: Solve for x
    x = 4,942,559.37/2,000.30
  6. Step 6: Final answer
    x = 2,470.91

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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.