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Finding the Fourth Proportional to 2,692.28, 4,039.70 and 1,304.12

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Solution

The fourth proportional to 2,692.28, 4,039.70 and 1,304.12 is: 1,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.28 : 4,039.70 = 1,304.12 : x
  2. Step 2: Convert to fraction form
    2,692.28/4,039.70 = 1,304.12/x
  3. Step 3: Cross multiply
    2,692.28x = 4,039.70 × 1,304.12
  4. Step 4: Simplify right side
    2,692.28x = 5,268,253.56
  5. Step 5: Solve for x
    x = 5,268,253.56/2,692.28
  6. Step 6: Final answer
    x = 1,956.80

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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.