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Finding the Fourth Proportional to 1,731.57, 2,597.67 and 635.82

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Solution

The fourth proportional to 1,731.57, 2,597.67 and 635.82 is: 953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.57 : 2,597.67 = 635.82 : x
  2. Step 2: Convert to fraction form
    1,731.57/2,597.67 = 635.82/x
  3. Step 3: Cross multiply
    1,731.57x = 2,597.67 × 635.82
  4. Step 4: Simplify right side
    1,731.57x = 1,651,650.54
  5. Step 5: Solve for x
    x = 1,651,650.54/1,731.57
  6. Step 6: Final answer
    x = 953.85

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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.