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Finding the Fourth Proportional to 4,245.44, 6,365.44 and 1,645.60

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Solution

The fourth proportional to 4,245.44, 6,365.44 and 1,645.60 is: 2,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.44 : 6,365.44 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    4,245.44/6,365.44 = 1,645.60/x
  3. Step 3: Cross multiply
    4,245.44x = 6,365.44 × 1,645.60
  4. Step 4: Simplify right side
    4,245.44x = 10,474,968.06
  5. Step 5: Solve for x
    x = 10,474,968.06/4,245.44
  6. Step 6: Final answer
    x = 2,467.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.