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Finding the Fourth Proportional to 1,730.36, 2,600.52 and 1,439.66

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Solution

The fourth proportional to 1,730.36, 2,600.52 and 1,439.66 is: 2,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.36 : 2,600.52 = 1,439.66 : x
  2. Step 2: Convert to fraction form
    1,730.36/2,600.52 = 1,439.66/x
  3. Step 3: Cross multiply
    1,730.36x = 2,600.52 × 1,439.66
  4. Step 4: Simplify right side
    1,730.36x = 3,743,864.62
  5. Step 5: Solve for x
    x = 3,743,864.62/1,730.36
  6. Step 6: Final answer
    x = 2,163.63

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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.