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Finding the Fourth Proportional to 2,104.25, 2,905.20 and 1,879.79

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Solution

The fourth proportional to 2,104.25, 2,905.20 and 1,879.79 is: 2,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.25 : 2,905.20 = 1,879.79 : x
  2. Step 2: Convert to fraction form
    2,104.25/2,905.20 = 1,879.79/x
  3. Step 3: Cross multiply
    2,104.25x = 2,905.20 × 1,879.79
  4. Step 4: Simplify right side
    2,104.25x = 5,461,151.38
  5. Step 5: Solve for x
    x = 5,461,151.38/2,104.25
  6. Step 6: Final answer
    x = 2,595.30

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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.