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Finding the Fourth Proportional to 2,827.80, 4,241.70 and 2,676.60

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Solution

The fourth proportional to 2,827.80, 4,241.70 and 2,676.60 is: 4,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.80 : 4,241.70 = 2,676.60 : x
  2. Step 2: Convert to fraction form
    2,827.80/4,241.70 = 2,676.60/x
  3. Step 3: Cross multiply
    2,827.80x = 4,241.70 × 2,676.60
  4. Step 4: Simplify right side
    2,827.80x = 11,353,334.22
  5. Step 5: Solve for x
    x = 11,353,334.22/2,827.80
  6. Step 6: Final answer
    x = 4,014.90

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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.