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Finding the Fourth Proportional to 1,732.06, 2,594.26 and 1,339.22

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Solution

The fourth proportional to 1,732.06, 2,594.26 and 1,339.22 is: 2,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.06 : 2,594.26 = 1,339.22 : x
  2. Step 2: Convert to fraction form
    1,732.06/2,594.26 = 1,339.22/x
  3. Step 3: Cross multiply
    1,732.06x = 2,594.26 × 1,339.22
  4. Step 4: Simplify right side
    1,732.06x = 3,474,284.88
  5. Step 5: Solve for x
    x = 3,474,284.88/1,732.06
  6. Step 6: Final answer
    x = 2,005.87

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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.