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Finding the Fourth Proportional to 2,635.89, 3,953.52 and 688.25

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Solution

The fourth proportional to 2,635.89, 3,953.52 and 688.25 is: 1,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.89 : 3,953.52 = 688.25 : x
  2. Step 2: Convert to fraction form
    2,635.89/3,953.52 = 688.25/x
  3. Step 3: Cross multiply
    2,635.89x = 3,953.52 × 688.25
  4. Step 4: Simplify right side
    2,635.89x = 2,721,010.14
  5. Step 5: Solve for x
    x = 2,721,010.14/2,635.89
  6. Step 6: Final answer
    x = 1,032.29

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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.