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Finding the Fourth Proportional to 2,677.02, 4,014.99 and 827.52

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Solution

The fourth proportional to 2,677.02, 4,014.99 and 827.52 is: 1,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.02 : 4,014.99 = 827.52 : x
  2. Step 2: Convert to fraction form
    2,677.02/4,014.99 = 827.52/x
  3. Step 3: Cross multiply
    2,677.02x = 4,014.99 × 827.52
  4. Step 4: Simplify right side
    2,677.02x = 3,322,484.52
  5. Step 5: Solve for x
    x = 3,322,484.52/2,677.02
  6. Step 6: Final answer
    x = 1,241.11

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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.