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Finding the Fourth Proportional to 2,652.67, 3,978.33 and 1,008.73

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Solution

The fourth proportional to 2,652.67, 3,978.33 and 1,008.73 is: 1,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.67 : 3,978.33 = 1,008.73 : x
  2. Step 2: Convert to fraction form
    2,652.67/3,978.33 = 1,008.73/x
  3. Step 3: Cross multiply
    2,652.67x = 3,978.33 × 1,008.73
  4. Step 4: Simplify right side
    2,652.67x = 4,013,060.82
  5. Step 5: Solve for x
    x = 4,013,060.82/2,652.67
  6. Step 6: Final answer
    x = 1,512.84

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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.