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Finding the Fourth Proportional to 2,635.82, 3,953.39 and 688.17

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Solution

The fourth proportional to 2,635.82, 3,953.39 and 688.17 is: 1,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.82 : 3,953.39 = 688.17 : x
  2. Step 2: Convert to fraction form
    2,635.82/3,953.39 = 688.17/x
  3. Step 3: Cross multiply
    2,635.82x = 3,953.39 × 688.17
  4. Step 4: Simplify right side
    2,635.82x = 2,720,600.96
  5. Step 5: Solve for x
    x = 2,720,600.96/2,635.82
  6. Step 6: Final answer
    x = 1,032.17

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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.