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Finding the Fourth Proportional to 2,633.96, 3,633.20 and 1,688.75

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Solution

The fourth proportional to 2,633.96, 3,633.20 and 1,688.75 is: 2,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.96 : 3,633.20 = 1,688.75 : x
  2. Step 2: Convert to fraction form
    2,633.96/3,633.20 = 1,688.75/x
  3. Step 3: Cross multiply
    2,633.96x = 3,633.20 × 1,688.75
  4. Step 4: Simplify right side
    2,633.96x = 6,135,573.47
  5. Step 5: Solve for x
    x = 6,135,573.47/2,633.96
  6. Step 6: Final answer
    x = 2,329.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.