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Finding the Fourth Proportional to 1,879.82, 2,594.14 and 1,093.92

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Solution

The fourth proportional to 1,879.82, 2,594.14 and 1,093.92 is: 1,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.82 : 2,594.14 = 1,093.92 : x
  2. Step 2: Convert to fraction form
    1,879.82/2,594.14 = 1,093.92/x
  3. Step 3: Cross multiply
    1,879.82x = 2,594.14 × 1,093.92
  4. Step 4: Simplify right side
    1,879.82x = 2,837,781.63
  5. Step 5: Solve for x
    x = 2,837,781.63/1,879.82
  6. Step 6: Final answer
    x = 1,509.60

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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.