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Finding the Fourth Proportional to 2,692.12, 3,714.71 and 1,512.96

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Solution

The fourth proportional to 2,692.12, 3,714.71 and 1,512.96 is: 2,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.12 : 3,714.71 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    2,692.12/3,714.71 = 1,512.96/x
  3. Step 3: Cross multiply
    2,692.12x = 3,714.71 × 1,512.96
  4. Step 4: Simplify right side
    2,692.12x = 5,620,207.64
  5. Step 5: Solve for x
    x = 5,620,207.64/2,692.12
  6. Step 6: Final answer
    x = 2,087.65

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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.