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Finding the Fourth Proportional to 2,615.63, 3,923.44 and 667.83

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Solution

The fourth proportional to 2,615.63, 3,923.44 and 667.83 is: 1,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.63 : 3,923.44 = 667.83 : x
  2. Step 2: Convert to fraction form
    2,615.63/3,923.44 = 667.83/x
  3. Step 3: Cross multiply
    2,615.63x = 3,923.44 × 667.83
  4. Step 4: Simplify right side
    2,615.63x = 2,620,181.91
  5. Step 5: Solve for x
    x = 2,620,181.91/2,615.63
  6. Step 6: Final answer
    x = 1,001.74

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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.