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Finding the Fourth Proportional to 2,649.60, 3,652.56 and 1,986.48

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Solution

The fourth proportional to 2,649.60, 3,652.56 and 1,986.48 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.60 : 3,652.56 = 1,986.48 : x
  2. Step 2: Convert to fraction form
    2,649.60/3,652.56 = 1,986.48/x
  3. Step 3: Cross multiply
    2,649.60x = 3,652.56 × 1,986.48
  4. Step 4: Simplify right side
    2,649.60x = 7,255,737.39
  5. Step 5: Solve for x
    x = 7,255,737.39/2,649.60
  6. Step 6: Final answer
    x = 2,738.43

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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.