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Finding the Fourth Proportional to 3,268.46, 4,903.14 and 1,624.97

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Solution

The fourth proportional to 3,268.46, 4,903.14 and 1,624.97 is: 2,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.46 : 4,903.14 = 1,624.97 : x
  2. Step 2: Convert to fraction form
    3,268.46/4,903.14 = 1,624.97/x
  3. Step 3: Cross multiply
    3,268.46x = 4,903.14 × 1,624.97
  4. Step 4: Simplify right side
    3,268.46x = 7,967,455.41
  5. Step 5: Solve for x
    x = 7,967,455.41/3,268.46
  6. Step 6: Final answer
    x = 2,437.68

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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.