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Finding the Fourth Proportional to 1,732.35, 2,596.17 and 635.67

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Solution

The fourth proportional to 1,732.35, 2,596.17 and 635.67 is: 952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.35 : 2,596.17 = 635.67 : x
  2. Step 2: Convert to fraction form
    1,732.35/2,596.17 = 635.67/x
  3. Step 3: Cross multiply
    1,732.35x = 2,596.17 × 635.67
  4. Step 4: Simplify right side
    1,732.35x = 1,650,307.38
  5. Step 5: Solve for x
    x = 1,650,307.38/1,732.35
  6. Step 6: Final answer
    x = 952.64

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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.