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Finding the Fourth Proportional to 1,732.06, 2,389.11 and 1,289.41

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Solution

The fourth proportional to 1,732.06, 2,389.11 and 1,289.41 is: 1,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.06 : 2,389.11 = 1,289.41 : x
  2. Step 2: Convert to fraction form
    1,732.06/2,389.11 = 1,289.41/x
  3. Step 3: Cross multiply
    1,732.06x = 2,389.11 × 1,289.41
  4. Step 4: Simplify right side
    1,732.06x = 3,080,542.33
  5. Step 5: Solve for x
    x = 3,080,542.33/1,732.06
  6. Step 6: Final answer
    x = 1,778.54

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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.