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Finding the Fourth Proportional to 2,000.26, 2,756.31 and 1,549.41

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Solution

The fourth proportional to 2,000.26, 2,756.31 and 1,549.41 is: 2,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.26 : 2,756.31 = 1,549.41 : x
  2. Step 2: Convert to fraction form
    2,000.26/2,756.31 = 1,549.41/x
  3. Step 3: Cross multiply
    2,000.26x = 2,756.31 × 1,549.41
  4. Step 4: Simplify right side
    2,000.26x = 4,270,654.28
  5. Step 5: Solve for x
    x = 4,270,654.28/2,000.26
  6. Step 6: Final answer
    x = 2,135.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.