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Finding the Fourth Proportional to 3,122.60, 4,308.98 and 1,725.32

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Solution

The fourth proportional to 3,122.60, 4,308.98 and 1,725.32 is: 2,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.60 : 4,308.98 = 1,725.32 : x
  2. Step 2: Convert to fraction form
    3,122.60/4,308.98 = 1,725.32/x
  3. Step 3: Cross multiply
    3,122.60x = 4,308.98 × 1,725.32
  4. Step 4: Simplify right side
    3,122.60x = 7,434,369.37
  5. Step 5: Solve for x
    x = 7,434,369.37/3,122.60
  6. Step 6: Final answer
    x = 2,380.83

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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.