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Finding the Fourth Proportional to 3,206.99, 4,810.48 and 2,561.83

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Solution

The fourth proportional to 3,206.99, 4,810.48 and 2,561.83 is: 3,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.99 : 4,810.48 = 2,561.83 : x
  2. Step 2: Convert to fraction form
    3,206.99/4,810.48 = 2,561.83/x
  3. Step 3: Cross multiply
    3,206.99x = 4,810.48 × 2,561.83
  4. Step 4: Simplify right side
    3,206.99x = 12,323,613.55
  5. Step 5: Solve for x
    x = 12,323,613.55/3,206.99
  6. Step 6: Final answer
    x = 3,842.73

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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.