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Finding the Fourth Proportional to 2,636.02, 3,954.25 and 688.22

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Solution

The fourth proportional to 2,636.02, 3,954.25 and 688.22 is: 1,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.02 : 3,954.25 = 688.22 : x
  2. Step 2: Convert to fraction form
    2,636.02/3,954.25 = 688.22/x
  3. Step 3: Cross multiply
    2,636.02x = 3,954.25 × 688.22
  4. Step 4: Simplify right side
    2,636.02x = 2,721,393.94
  5. Step 5: Solve for x
    x = 2,721,393.94/2,636.02
  6. Step 6: Final answer
    x = 1,032.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.