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Finding the Fourth Proportional to 3,199.46, 4,415.22 and 1,783.20

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Solution

The fourth proportional to 3,199.46, 4,415.22 and 1,783.20 is: 2,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.46 : 4,415.22 = 1,783.20 : x
  2. Step 2: Convert to fraction form
    3,199.46/4,415.22 = 1,783.20/x
  3. Step 3: Cross multiply
    3,199.46x = 4,415.22 × 1,783.20
  4. Step 4: Simplify right side
    3,199.46x = 7,873,220.30
  5. Step 5: Solve for x
    x = 7,873,220.30/3,199.46
  6. Step 6: Final answer
    x = 2,460.80

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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.