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Finding the Fourth Proportional to 2,639.40, 3,962 and 1,322.79

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Solution

The fourth proportional to 2,639.40, 3,962 and 1,322.79 is: 1,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.40 : 3,962 = 1,322.79 : x
  2. Step 2: Convert to fraction form
    2,639.40/3,962 = 1,322.79/x
  3. Step 3: Cross multiply
    2,639.40x = 3,962 × 1,322.79
  4. Step 4: Simplify right side
    2,639.40x = 5,240,893.98
  5. Step 5: Solve for x
    x = 5,240,893.98/2,639.40
  6. Step 6: Final answer
    x = 1,985.64

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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.