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Finding the Fourth Proportional to 3,269.15, 4,903.61 and 803.91

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Solution

The fourth proportional to 3,269.15, 4,903.61 and 803.91 is: 1,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.15 : 4,903.61 = 803.91 : x
  2. Step 2: Convert to fraction form
    3,269.15/4,903.61 = 803.91/x
  3. Step 3: Cross multiply
    3,269.15x = 4,903.61 × 803.91
  4. Step 4: Simplify right side
    3,269.15x = 3,942,057.10
  5. Step 5: Solve for x
    x = 3,942,057.10/3,269.15
  6. Step 6: Final answer
    x = 1,205.84

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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.