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Finding the Fourth Proportional to 2,776.56, 4,165.72 and 828.88

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Solution

The fourth proportional to 2,776.56, 4,165.72 and 828.88 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.56 : 4,165.72 = 828.88 : x
  2. Step 2: Convert to fraction form
    2,776.56/4,165.72 = 828.88/x
  3. Step 3: Cross multiply
    2,776.56x = 4,165.72 × 828.88
  4. Step 4: Simplify right side
    2,776.56x = 3,452,881.99
  5. Step 5: Solve for x
    x = 3,452,881.99/2,776.56
  6. Step 6: Final answer
    x = 1,243.58

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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.