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Finding the Fourth Proportional to 1,738.37, 2,606.76 and 641.96

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Solution

The fourth proportional to 1,738.37, 2,606.76 and 641.96 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.37 : 2,606.76 = 641.96 : x
  2. Step 2: Convert to fraction form
    1,738.37/2,606.76 = 641.96/x
  3. Step 3: Cross multiply
    1,738.37x = 2,606.76 × 641.96
  4. Step 4: Simplify right side
    1,738.37x = 1,673,422.62
  5. Step 5: Solve for x
    x = 1,673,422.62/1,738.37
  6. Step 6: Final answer
    x = 962.64

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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.