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Finding the Fourth Proportional to 3,205.80, 4,818.30 and 2,783.40

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Solution

The fourth proportional to 3,205.80, 4,818.30 and 2,783.40 is: 4,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,818.30 = 2,783.40 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,818.30 = 2,783.40/x
  3. Step 3: Cross multiply
    3,205.80x = 4,818.30 × 2,783.40
  4. Step 4: Simplify right side
    3,205.80x = 13,411,256.22
  5. Step 5: Solve for x
    x = 13,411,256.22/3,205.80
  6. Step 6: Final answer
    x = 4,183.44

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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.