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Finding the Fourth Proportional to 1,426.44, 2,142.50 and 879.69

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Solution

The fourth proportional to 1,426.44, 2,142.50 and 879.69 is: 1,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.44 : 2,142.50 = 879.69 : x
  2. Step 2: Convert to fraction form
    1,426.44/2,142.50 = 879.69/x
  3. Step 3: Cross multiply
    1,426.44x = 2,142.50 × 879.69
  4. Step 4: Simplify right side
    1,426.44x = 1,884,731.43
  5. Step 5: Solve for x
    x = 1,884,731.43/1,426.44
  6. Step 6: Final answer
    x = 1,321.28

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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.