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Finding the Fourth Proportional to 2,692.76, 4,034.56 and 1,650.58

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Solution

The fourth proportional to 2,692.76, 4,034.56 and 1,650.58 is: 2,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.76 : 4,034.56 = 1,650.58 : x
  2. Step 2: Convert to fraction form
    2,692.76/4,034.56 = 1,650.58/x
  3. Step 3: Cross multiply
    2,692.76x = 4,034.56 × 1,650.58
  4. Step 4: Simplify right side
    2,692.76x = 6,659,364.04
  5. Step 5: Solve for x
    x = 6,659,364.04/2,692.76
  6. Step 6: Final answer
    x = 2,473.06

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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.