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Finding the Fourth Proportional to 2,581.90, 3,873.21 and 938.26

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Solution

The fourth proportional to 2,581.90, 3,873.21 and 938.26 is: 1,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.90 : 3,873.21 = 938.26 : x
  2. Step 2: Convert to fraction form
    2,581.90/3,873.21 = 938.26/x
  3. Step 3: Cross multiply
    2,581.90x = 3,873.21 × 938.26
  4. Step 4: Simplify right side
    2,581.90x = 3,634,078.01
  5. Step 5: Solve for x
    x = 3,634,078.01/2,581.90
  6. Step 6: Final answer
    x = 1,407.52

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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.