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Finding the Fourth Proportional to 2,000.30, 2,996.26 and 1,024.31

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Solution

The fourth proportional to 2,000.30, 2,996.26 and 1,024.31 is: 1,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,996.26 = 1,024.31 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,996.26 = 1,024.31/x
  3. Step 3: Cross multiply
    2,000.30x = 2,996.26 × 1,024.31
  4. Step 4: Simplify right side
    2,000.30x = 3,069,104.01
  5. Step 5: Solve for x
    x = 3,069,104.01/2,000.30
  6. Step 6: Final answer
    x = 1,534.33

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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.