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Finding the Fourth Proportional to 1,829.32, 2,743.92 and 659.44

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Solution

The fourth proportional to 1,829.32, 2,743.92 and 659.44 is: 989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.32 : 2,743.92 = 659.44 : x
  2. Step 2: Convert to fraction form
    1,829.32/2,743.92 = 659.44/x
  3. Step 3: Cross multiply
    1,829.32x = 2,743.92 × 659.44
  4. Step 4: Simplify right side
    1,829.32x = 1,809,450.60
  5. Step 5: Solve for x
    x = 1,809,450.60/1,829.32
  6. Step 6: Final answer
    x = 989.14

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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.