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Finding the Fourth Proportional to 2,872, 3,962.74 and 1,692.64

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Solution

The fourth proportional to 2,872, 3,962.74 and 1,692.64 is: 2,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872 : 3,962.74 = 1,692.64 : x
  2. Step 2: Convert to fraction form
    2,872/3,962.74 = 1,692.64/x
  3. Step 3: Cross multiply
    2,872x = 3,962.74 × 1,692.64
  4. Step 4: Simplify right side
    2,872x = 6,707,492.23
  5. Step 5: Solve for x
    x = 6,707,492.23/2,872
  6. Step 6: Final answer
    x = 2,335.48

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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.