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Finding the Fourth Proportional to 3,322, 4,585.44 and 1,924.48

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Solution

The fourth proportional to 3,322, 4,585.44 and 1,924.48 is: 2,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 4,585.44 = 1,924.48 : x
  2. Step 2: Convert to fraction form
    3,322/4,585.44 = 1,924.48/x
  3. Step 3: Cross multiply
    3,322x = 4,585.44 × 1,924.48
  4. Step 4: Simplify right side
    3,322x = 8,824,587.57
  5. Step 5: Solve for x
    x = 8,824,587.57/3,322
  6. Step 6: Final answer
    x = 2,656.41

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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.