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Finding the Fourth Proportional to 2,659.74, 3,989.64 and 1,016.37

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Solution

The fourth proportional to 2,659.74, 3,989.64 and 1,016.37 is: 1,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.74 : 3,989.64 = 1,016.37 : x
  2. Step 2: Convert to fraction form
    2,659.74/3,989.64 = 1,016.37/x
  3. Step 3: Cross multiply
    2,659.74x = 3,989.64 × 1,016.37
  4. Step 4: Simplify right side
    2,659.74x = 4,054,954.22
  5. Step 5: Solve for x
    x = 4,054,954.22/2,659.74
  6. Step 6: Final answer
    x = 1,524.57

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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.