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Finding the Fourth Proportional to 4,609.95, 6,912.81 and 1,322.25

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Solution

The fourth proportional to 4,609.95, 6,912.81 and 1,322.25 is: 1,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.95 : 6,912.81 = 1,322.25 : x
  2. Step 2: Convert to fraction form
    4,609.95/6,912.81 = 1,322.25/x
  3. Step 3: Cross multiply
    4,609.95x = 6,912.81 × 1,322.25
  4. Step 4: Simplify right side
    4,609.95x = 9,140,463.02
  5. Step 5: Solve for x
    x = 9,140,463.02/4,609.95
  6. Step 6: Final answer
    x = 1,982.77

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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.