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Finding the Fourth Proportional to 2,757.20, 4,134.60 and 882.64

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Solution

The fourth proportional to 2,757.20, 4,134.60 and 882.64 is: 1,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.20 : 4,134.60 = 882.64 : x
  2. Step 2: Convert to fraction form
    2,757.20/4,134.60 = 882.64/x
  3. Step 3: Cross multiply
    2,757.20x = 4,134.60 × 882.64
  4. Step 4: Simplify right side
    2,757.20x = 3,649,363.34
  5. Step 5: Solve for x
    x = 3,649,363.34/2,757.20
  6. Step 6: Final answer
    x = 1,323.58

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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.