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Finding the Fourth Proportional to 2,677.68, 4,015.44 and 828.36

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Solution

The fourth proportional to 2,677.68, 4,015.44 and 828.36 is: 1,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.68 : 4,015.44 = 828.36 : x
  2. Step 2: Convert to fraction form
    2,677.68/4,015.44 = 828.36/x
  3. Step 3: Cross multiply
    2,677.68x = 4,015.44 × 828.36
  4. Step 4: Simplify right side
    2,677.68x = 3,326,229.88
  5. Step 5: Solve for x
    x = 3,326,229.88/2,677.68
  6. Step 6: Final answer
    x = 1,242.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.