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Finding the Fourth Proportional to 3,206.89, 4,803.67 and 1,642.16

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Solution

The fourth proportional to 3,206.89, 4,803.67 and 1,642.16 is: 2,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.89 : 4,803.67 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    3,206.89/4,803.67 = 1,642.16/x
  3. Step 3: Cross multiply
    3,206.89x = 4,803.67 × 1,642.16
  4. Step 4: Simplify right side
    3,206.89x = 7,888,394.73
  5. Step 5: Solve for x
    x = 7,888,394.73/3,206.89
  6. Step 6: Final answer
    x = 2,459.83

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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.