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Finding the Fourth Proportional to 1,962.81, 2,945.16 and 867

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Solution

The fourth proportional to 1,962.81, 2,945.16 and 867 is: 1,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.81 : 2,945.16 = 867 : x
  2. Step 2: Convert to fraction form
    1,962.81/2,945.16 = 867/x
  3. Step 3: Cross multiply
    1,962.81x = 2,945.16 × 867
  4. Step 4: Simplify right side
    1,962.81x = 2,553,453.72
  5. Step 5: Solve for x
    x = 2,553,453.72/1,962.81
  6. Step 6: Final answer
    x = 1,300.92

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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.