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Finding the Fourth Proportional to 2,048.98, 2,824.38 and 1,879.48

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Solution

The fourth proportional to 2,048.98, 2,824.38 and 1,879.48 is: 2,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.98 : 2,824.38 = 1,879.48 : x
  2. Step 2: Convert to fraction form
    2,048.98/2,824.38 = 1,879.48/x
  3. Step 3: Cross multiply
    2,048.98x = 2,824.38 × 1,879.48
  4. Step 4: Simplify right side
    2,048.98x = 5,308,365.72
  5. Step 5: Solve for x
    x = 5,308,365.72/2,048.98
  6. Step 6: Final answer
    x = 2,590.74

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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.