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Finding the Fourth Proportional to 3,322, 4,584.57 and 1,829.92

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Solution

The fourth proportional to 3,322, 4,584.57 and 1,829.92 is: 2,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 4,584.57 = 1,829.92 : x
  2. Step 2: Convert to fraction form
    3,322/4,584.57 = 1,829.92/x
  3. Step 3: Cross multiply
    3,322x = 4,584.57 × 1,829.92
  4. Step 4: Simplify right side
    3,322x = 8,389,380.30
  5. Step 5: Solve for x
    x = 8,389,380.30/3,322
  6. Step 6: Final answer
    x = 2,525.40

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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.