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Finding the Fourth Proportional to 2,692.87, 4,036.56 and 1,305.34

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Solution

The fourth proportional to 2,692.87, 4,036.56 and 1,305.34 is: 1,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.87 : 4,036.56 = 1,305.34 : x
  2. Step 2: Convert to fraction form
    2,692.87/4,036.56 = 1,305.34/x
  3. Step 3: Cross multiply
    2,692.87x = 4,036.56 × 1,305.34
  4. Step 4: Simplify right side
    2,692.87x = 5,269,083.23
  5. Step 5: Solve for x
    x = 5,269,083.23/2,692.87
  6. Step 6: Final answer
    x = 1,956.68

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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.