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Finding the Fourth Proportional to 1,732.14, 2,596.59 and 636.21

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Solution

The fourth proportional to 1,732.14, 2,596.59 and 636.21 is: 953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.14 : 2,596.59 = 636.21 : x
  2. Step 2: Convert to fraction form
    1,732.14/2,596.59 = 636.21/x
  3. Step 3: Cross multiply
    1,732.14x = 2,596.59 × 636.21
  4. Step 4: Simplify right side
    1,732.14x = 1,651,976.52
  5. Step 5: Solve for x
    x = 1,651,976.52/1,732.14
  6. Step 6: Final answer
    x = 953.72

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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.