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Finding the Fourth Proportional to 1,636.25, 2,453.64 and 595.91

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Solution

The fourth proportional to 1,636.25, 2,453.64 and 595.91 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.25 : 2,453.64 = 595.91 : x
  2. Step 2: Convert to fraction form
    1,636.25/2,453.64 = 595.91/x
  3. Step 3: Cross multiply
    1,636.25x = 2,453.64 × 595.91
  4. Step 4: Simplify right side
    1,636.25x = 1,462,136.34
  5. Step 5: Solve for x
    x = 1,462,136.34/1,636.25
  6. Step 6: Final answer
    x = 893.59

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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.