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Finding the Fourth Proportional to 2,724, 4,086 and 900

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Solution

The fourth proportional to 2,724, 4,086 and 900 is: 1,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 4,086 = 900 : x
  2. Step 2: Convert to fraction form
    2,724/4,086 = 900/x
  3. Step 3: Cross multiply
    2,724x = 4,086 × 900
  4. Step 4: Simplify right side
    2,724x = 3,677,400
  5. Step 5: Solve for x
    x = 3,677,400/2,724
  6. Step 6: Final answer
    x = 1,350

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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.