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Finding the Fourth Proportional to 2,089.01, 3,134.12 and 1,722.08

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Solution

The fourth proportional to 2,089.01, 3,134.12 and 1,722.08 is: 2,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.01 : 3,134.12 = 1,722.08 : x
  2. Step 2: Convert to fraction form
    2,089.01/3,134.12 = 1,722.08/x
  3. Step 3: Cross multiply
    2,089.01x = 3,134.12 × 1,722.08
  4. Step 4: Simplify right side
    2,089.01x = 5,397,181.09
  5. Step 5: Solve for x
    x = 5,397,181.09/2,089.01
  6. Step 6: Final answer
    x = 2,583.61

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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.