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Finding the Fourth Proportional to 2,777.28, 4,165.48 and 829.03

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Solution

The fourth proportional to 2,777.28, 4,165.48 and 829.03 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.28 : 4,165.48 = 829.03 : x
  2. Step 2: Convert to fraction form
    2,777.28/4,165.48 = 829.03/x
  3. Step 3: Cross multiply
    2,777.28x = 4,165.48 × 829.03
  4. Step 4: Simplify right side
    2,777.28x = 3,453,307.88
  5. Step 5: Solve for x
    x = 3,453,307.88/2,777.28
  6. Step 6: Final answer
    x = 1,243.41

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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.