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Finding the Fourth Proportional to 2,692.14, 3,714.74 and 1,512.98

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Solution

The fourth proportional to 2,692.14, 3,714.74 and 1,512.98 is: 2,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.14 : 3,714.74 = 1,512.98 : x
  2. Step 2: Convert to fraction form
    2,692.14/3,714.74 = 1,512.98/x
  3. Step 3: Cross multiply
    2,692.14x = 3,714.74 × 1,512.98
  4. Step 4: Simplify right side
    2,692.14x = 5,620,327.33
  5. Step 5: Solve for x
    x = 5,620,327.33/2,692.14
  6. Step 6: Final answer
    x = 2,087.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.