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Finding the Fourth Proportional to 1,879.50, 2,594.22 and 1,133.48

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Solution

The fourth proportional to 1,879.50, 2,594.22 and 1,133.48 is: 1,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.50 : 2,594.22 = 1,133.48 : x
  2. Step 2: Convert to fraction form
    1,879.50/2,594.22 = 1,133.48/x
  3. Step 3: Cross multiply
    1,879.50x = 2,594.22 × 1,133.48
  4. Step 4: Simplify right side
    1,879.50x = 2,940,496.49
  5. Step 5: Solve for x
    x = 2,940,496.49/1,879.50
  6. Step 6: Final answer
    x = 1,564.51

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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.