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Finding the Fourth Proportional to 3,300, 4,554 and 1,828

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Solution

The fourth proportional to 3,300, 4,554 and 1,828 is: 2,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300 : 4,554 = 1,828 : x
  2. Step 2: Convert to fraction form
    3,300/4,554 = 1,828/x
  3. Step 3: Cross multiply
    3,300x = 4,554 × 1,828
  4. Step 4: Simplify right side
    3,300x = 8,324,712
  5. Step 5: Solve for x
    x = 8,324,712/3,300
  6. Step 6: Final answer
    x = 2,522.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.