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Finding the Fourth Proportional to 2,776.08, 4,164.24 and 828.24

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Solution

The fourth proportional to 2,776.08, 4,164.24 and 828.24 is: 1,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.08 : 4,164.24 = 828.24 : x
  2. Step 2: Convert to fraction form
    2,776.08/4,164.24 = 828.24/x
  3. Step 3: Cross multiply
    2,776.08x = 4,164.24 × 828.24
  4. Step 4: Simplify right side
    2,776.08x = 3,448,990.14
  5. Step 5: Solve for x
    x = 3,448,990.14/2,776.08
  6. Step 6: Final answer
    x = 1,242.40

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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.