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Finding the Fourth Proportional to 4,609.40, 6,912.02 and 1,321.74

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Solution

The fourth proportional to 4,609.40, 6,912.02 and 1,321.74 is: 1,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.40 : 6,912.02 = 1,321.74 : x
  2. Step 2: Convert to fraction form
    4,609.40/6,912.02 = 1,321.74/x
  3. Step 3: Cross multiply
    4,609.40x = 6,912.02 × 1,321.74
  4. Step 4: Simplify right side
    4,609.40x = 9,135,893.31
  5. Step 5: Solve for x
    x = 9,135,893.31/4,609.40
  6. Step 6: Final answer
    x = 1,982.01

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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.