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Finding the Fourth Proportional to 1,847.24, 2,770.92 and 677.48

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Solution

The fourth proportional to 1,847.24, 2,770.92 and 677.48 is: 1,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.24 : 2,770.92 = 677.48 : x
  2. Step 2: Convert to fraction form
    1,847.24/2,770.92 = 677.48/x
  3. Step 3: Cross multiply
    1,847.24x = 2,770.92 × 677.48
  4. Step 4: Simplify right side
    1,847.24x = 1,877,242.88
  5. Step 5: Solve for x
    x = 1,877,242.88/1,847.24
  6. Step 6: Final answer
    x = 1,016.24

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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.