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Finding the Fourth Proportional to 2,555.57, 3,518.61 and 2,322

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Solution

The fourth proportional to 2,555.57, 3,518.61 and 2,322 is: 3,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.57 : 3,518.61 = 2,322 : x
  2. Step 2: Convert to fraction form
    2,555.57/3,518.61 = 2,322/x
  3. Step 3: Cross multiply
    2,555.57x = 3,518.61 × 2,322
  4. Step 4: Simplify right side
    2,555.57x = 8,170,212.42
  5. Step 5: Solve for x
    x = 8,170,212.42/2,555.57
  6. Step 6: Final answer
    x = 3,197.03

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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.