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Finding the Fourth Proportional to 2,659.81, 3,986.64 and 2,352.26

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Solution

The fourth proportional to 2,659.81, 3,986.64 and 2,352.26 is: 3,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.81 : 3,986.64 = 2,352.26 : x
  2. Step 2: Convert to fraction form
    2,659.81/3,986.64 = 2,352.26/x
  3. Step 3: Cross multiply
    2,659.81x = 3,986.64 × 2,352.26
  4. Step 4: Simplify right side
    2,659.81x = 9,377,613.81
  5. Step 5: Solve for x
    x = 9,377,613.81/2,659.81
  6. Step 6: Final answer
    x = 3,525.67

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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.