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Finding the Fourth Proportional to 2,268, 3,126.96 and 1,677.54

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Solution

The fourth proportional to 2,268, 3,126.96 and 1,677.54 is: 2,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 3,126.96 = 1,677.54 : x
  2. Step 2: Convert to fraction form
    2,268/3,126.96 = 1,677.54/x
  3. Step 3: Cross multiply
    2,268x = 3,126.96 × 1,677.54
  4. Step 4: Simplify right side
    2,268x = 5,245,600.48
  5. Step 5: Solve for x
    x = 5,245,600.48/2,268
  6. Step 6: Final answer
    x = 2,312.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.