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Finding the Fourth Proportional to 1,577.94, 2,177.37 and 879.27

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Solution

The fourth proportional to 1,577.94, 2,177.37 and 879.27 is: 1,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.94 : 2,177.37 = 879.27 : x
  2. Step 2: Convert to fraction form
    1,577.94/2,177.37 = 879.27/x
  3. Step 3: Cross multiply
    1,577.94x = 2,177.37 × 879.27
  4. Step 4: Simplify right side
    1,577.94x = 1,914,496.12
  5. Step 5: Solve for x
    x = 1,914,496.12/1,577.94
  6. Step 6: Final answer
    x = 1,213.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.