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Finding the Fourth Proportional to 2,636.12, 3,954.17 and 688.32

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Solution

The fourth proportional to 2,636.12, 3,954.17 and 688.32 is: 1,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.12 : 3,954.17 = 688.32 : x
  2. Step 2: Convert to fraction form
    2,636.12/3,954.17 = 688.32/x
  3. Step 3: Cross multiply
    2,636.12x = 3,954.17 × 688.32
  4. Step 4: Simplify right side
    2,636.12x = 2,721,730.85
  5. Step 5: Solve for x
    x = 2,721,730.85/2,636.12
  6. Step 6: Final answer
    x = 1,032.48

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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.