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Finding the Fourth Proportional to 3,322, 4,584.63 and 1,924.75

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Solution

The fourth proportional to 3,322, 4,584.63 and 1,924.75 is: 2,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 4,584.63 = 1,924.75 : x
  2. Step 2: Convert to fraction form
    3,322/4,584.63 = 1,924.75/x
  3. Step 3: Cross multiply
    3,322x = 4,584.63 × 1,924.75
  4. Step 4: Simplify right side
    3,322x = 8,824,266.59
  5. Step 5: Solve for x
    x = 8,824,266.59/3,322
  6. Step 6: Final answer
    x = 2,656.31

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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.