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Finding the Fourth Proportional to 3,199.55, 4,415.37 and 1,783.23

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Solution

The fourth proportional to 3,199.55, 4,415.37 and 1,783.23 is: 2,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.55 : 4,415.37 = 1,783.23 : x
  2. Step 2: Convert to fraction form
    3,199.55/4,415.37 = 1,783.23/x
  3. Step 3: Cross multiply
    3,199.55x = 4,415.37 × 1,783.23
  4. Step 4: Simplify right side
    3,199.55x = 7,873,589.25
  5. Step 5: Solve for x
    x = 7,873,589.25/3,199.55
  6. Step 6: Final answer
    x = 2,460.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.