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Finding the Fourth Proportional to 2,665.35, 3,998.12 and 1,020.96

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Solution

The fourth proportional to 2,665.35, 3,998.12 and 1,020.96 is: 1,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.35 : 3,998.12 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    2,665.35/3,998.12 = 1,020.96/x
  3. Step 3: Cross multiply
    2,665.35x = 3,998.12 × 1,020.96
  4. Step 4: Simplify right side
    2,665.35x = 4,081,915.49
  5. Step 5: Solve for x
    x = 4,081,915.49/2,665.35
  6. Step 6: Final answer
    x = 1,531.47

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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.