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Finding the Fourth Proportional to 3,200.20, 4,800.73 and 1,641.01

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Solution

The fourth proportional to 3,200.20, 4,800.73 and 1,641.01 is: 2,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.20 : 4,800.73 = 1,641.01 : x
  2. Step 2: Convert to fraction form
    3,200.20/4,800.73 = 1,641.01/x
  3. Step 3: Cross multiply
    3,200.20x = 4,800.73 × 1,641.01
  4. Step 4: Simplify right side
    3,200.20x = 7,878,045.94
  5. Step 5: Solve for x
    x = 7,878,045.94/3,200.20
  6. Step 6: Final answer
    x = 2,461.74

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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.