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Finding the Fourth Proportional to 2,767, 4,150.68 and 1,228

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Solution

The fourth proportional to 2,767, 4,150.68 and 1,228 is: 1,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767 : 4,150.68 = 1,228 : x
  2. Step 2: Convert to fraction form
    2,767/4,150.68 = 1,228/x
  3. Step 3: Cross multiply
    2,767x = 4,150.68 × 1,228
  4. Step 4: Simplify right side
    2,767x = 5,097,035.04
  5. Step 5: Solve for x
    x = 5,097,035.04/2,767
  6. Step 6: Final answer
    x = 1,842.08

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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.