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Finding the Fourth Proportional to 2,776.32, 4,165.12 and 828.72

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Solution

The fourth proportional to 2,776.32, 4,165.12 and 828.72 is: 1,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.32 : 4,165.12 = 828.72 : x
  2. Step 2: Convert to fraction form
    2,776.32/4,165.12 = 828.72/x
  3. Step 3: Cross multiply
    2,776.32x = 4,165.12 × 828.72
  4. Step 4: Simplify right side
    2,776.32x = 3,451,718.25
  5. Step 5: Solve for x
    x = 3,451,718.25/2,776.32
  6. Step 6: Final answer
    x = 1,243.27

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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.