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Finding the Fourth Proportional to 2,886.83, 3,984.08 and 1,692.21

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Solution

The fourth proportional to 2,886.83, 3,984.08 and 1,692.21 is: 2,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.83 : 3,984.08 = 1,692.21 : x
  2. Step 2: Convert to fraction form
    2,886.83/3,984.08 = 1,692.21/x
  3. Step 3: Cross multiply
    2,886.83x = 3,984.08 × 1,692.21
  4. Step 4: Simplify right side
    2,886.83x = 6,741,900.02
  5. Step 5: Solve for x
    x = 6,741,900.02/2,886.83
  6. Step 6: Final answer
    x = 2,335.40

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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.