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Finding the Fourth Proportional to 2,919, 4,027.08 and 1,924.80

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Solution

The fourth proportional to 2,919, 4,027.08 and 1,924.80 is: 2,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 4,027.08 = 1,924.80 : x
  2. Step 2: Convert to fraction form
    2,919/4,027.08 = 1,924.80/x
  3. Step 3: Cross multiply
    2,919x = 4,027.08 × 1,924.80
  4. Step 4: Simplify right side
    2,919x = 7,751,323.58
  5. Step 5: Solve for x
    x = 7,751,323.58/2,919
  6. Step 6: Final answer
    x = 2,655.47

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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.