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Finding the Fourth Proportional to 2,677.06, 4,015.97 and 828.32

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Solution

The fourth proportional to 2,677.06, 4,015.97 and 828.32 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.06 : 4,015.97 = 828.32 : x
  2. Step 2: Convert to fraction form
    2,677.06/4,015.97 = 828.32/x
  3. Step 3: Cross multiply
    2,677.06x = 4,015.97 × 828.32
  4. Step 4: Simplify right side
    2,677.06x = 3,326,500.78
  5. Step 5: Solve for x
    x = 3,326,500.78/2,677.06
  6. Step 6: Final answer
    x = 1,242.60

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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.