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Finding the Fourth Proportional to 2,000.23, 2,758.89 and 1,734.20

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Solution

The fourth proportional to 2,000.23, 2,758.89 and 1,734.20 is: 2,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.23 : 2,758.89 = 1,734.20 : x
  2. Step 2: Convert to fraction form
    2,000.23/2,758.89 = 1,734.20/x
  3. Step 3: Cross multiply
    2,000.23x = 2,758.89 × 1,734.20
  4. Step 4: Simplify right side
    2,000.23x = 4,784,467.04
  5. Step 5: Solve for x
    x = 4,784,467.04/2,000.23
  6. Step 6: Final answer
    x = 2,391.96

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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.