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Finding the Fourth Proportional to 3,287.79, 4,930.77 and 1,642.07

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Solution

The fourth proportional to 3,287.79, 4,930.77 and 1,642.07 is: 2,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.79 : 4,930.77 = 1,642.07 : x
  2. Step 2: Convert to fraction form
    3,287.79/4,930.77 = 1,642.07/x
  3. Step 3: Cross multiply
    3,287.79x = 4,930.77 × 1,642.07
  4. Step 4: Simplify right side
    3,287.79x = 8,096,687.98
  5. Step 5: Solve for x
    x = 8,096,687.98/3,287.79
  6. Step 6: Final answer
    x = 2,462.65

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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.