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Finding the Fourth Proportional to 1,636.26, 2,453.57 and 596.10

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Solution

The fourth proportional to 1,636.26, 2,453.57 and 596.10 is: 893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.26 : 2,453.57 = 596.10 : x
  2. Step 2: Convert to fraction form
    1,636.26/2,453.57 = 596.10/x
  3. Step 3: Cross multiply
    1,636.26x = 2,453.57 × 596.10
  4. Step 4: Simplify right side
    1,636.26x = 1,462,570.10
  5. Step 5: Solve for x
    x = 1,462,570.10/1,636.26
  6. Step 6: Final answer
    x = 893.85

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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.