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Finding the Fourth Proportional to 3,205.28, 4,803.88 and 1,720.81

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Solution

The fourth proportional to 3,205.28, 4,803.88 and 1,720.81 is: 2,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.28 : 4,803.88 = 1,720.81 : x
  2. Step 2: Convert to fraction form
    3,205.28/4,803.88 = 1,720.81/x
  3. Step 3: Cross multiply
    3,205.28x = 4,803.88 × 1,720.81
  4. Step 4: Simplify right side
    3,205.28x = 8,266,564.74
  5. Step 5: Solve for x
    x = 8,266,564.74/3,205.28
  6. Step 6: Final answer
    x = 2,579.05

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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.