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Finding the Fourth Proportional to 2,687.96, 4,031.26 and 956.59

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Solution

The fourth proportional to 2,687.96, 4,031.26 and 956.59 is: 1,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.96 : 4,031.26 = 956.59 : x
  2. Step 2: Convert to fraction form
    2,687.96/4,031.26 = 956.59/x
  3. Step 3: Cross multiply
    2,687.96x = 4,031.26 × 956.59
  4. Step 4: Simplify right side
    2,687.96x = 3,856,263.00
  5. Step 5: Solve for x
    x = 3,856,263.00/2,687.96
  6. Step 6: Final answer
    x = 1,434.64

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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.