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Finding the Fourth Proportional to 1,639.33, 2,460 and 665.44

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Solution

The fourth proportional to 1,639.33, 2,460 and 665.44 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.33 : 2,460 = 665.44 : x
  2. Step 2: Convert to fraction form
    1,639.33/2,460 = 665.44/x
  3. Step 3: Cross multiply
    1,639.33x = 2,460 × 665.44
  4. Step 4: Simplify right side
    1,639.33x = 1,636,982.40
  5. Step 5: Solve for x
    x = 1,636,982.40/1,639.33
  6. Step 6: Final answer
    x = 998.57

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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.