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Finding the Fourth Proportional to 2,289, 3,433.78 and 827.94

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Solution

The fourth proportional to 2,289, 3,433.78 and 827.94 is: 1,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,433.78 = 827.94 : x
  2. Step 2: Convert to fraction form
    2,289/3,433.78 = 827.94/x
  3. Step 3: Cross multiply
    2,289x = 3,433.78 × 827.94
  4. Step 4: Simplify right side
    2,289x = 2,842,963.81
  5. Step 5: Solve for x
    x = 2,842,963.81/2,289
  6. Step 6: Final answer
    x = 1,242.01

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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.