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Finding the Fourth Proportional to 1,825.37, 2,737.33 and 654.99

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Solution

The fourth proportional to 1,825.37, 2,737.33 and 654.99 is: 982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.37 : 2,737.33 = 654.99 : x
  2. Step 2: Convert to fraction form
    1,825.37/2,737.33 = 654.99/x
  3. Step 3: Cross multiply
    1,825.37x = 2,737.33 × 654.99
  4. Step 4: Simplify right side
    1,825.37x = 1,792,911.87
  5. Step 5: Solve for x
    x = 1,792,911.87/1,825.37
  6. Step 6: Final answer
    x = 982.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.