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Finding the Fourth Proportional to 3,243.45, 4,852.82 and 1,783.64

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Solution

The fourth proportional to 3,243.45, 4,852.82 and 1,783.64 is: 2,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.45 : 4,852.82 = 1,783.64 : x
  2. Step 2: Convert to fraction form
    3,243.45/4,852.82 = 1,783.64/x
  3. Step 3: Cross multiply
    3,243.45x = 4,852.82 × 1,783.64
  4. Step 4: Simplify right side
    3,243.45x = 8,655,650.68
  5. Step 5: Solve for x
    x = 8,655,650.68/3,243.45
  6. Step 6: Final answer
    x = 2,668.66

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