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Finding the Fourth Proportional to 3,205.69, 4,800.51 and 2,032.16

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Solution

The fourth proportional to 3,205.69, 4,800.51 and 2,032.16 is: 3,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.69 : 4,800.51 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    3,205.69/4,800.51 = 2,032.16/x
  3. Step 3: Cross multiply
    3,205.69x = 4,800.51 × 2,032.16
  4. Step 4: Simplify right side
    3,205.69x = 9,755,380.40
  5. Step 5: Solve for x
    x = 9,755,380.40/3,205.69
  6. Step 6: Final answer
    x = 3,043.15

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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.