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Finding the Fourth Proportional to 2,507.96, 3,761.62 and 659.23

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Solution

The fourth proportional to 2,507.96, 3,761.62 and 659.23 is: 988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.96 : 3,761.62 = 659.23 : x
  2. Step 2: Convert to fraction form
    2,507.96/3,761.62 = 659.23/x
  3. Step 3: Cross multiply
    2,507.96x = 3,761.62 × 659.23
  4. Step 4: Simplify right side
    2,507.96x = 2,479,761.70
  5. Step 5: Solve for x
    x = 2,479,761.70/2,507.96
  6. Step 6: Final answer
    x = 988.76

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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.