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Finding the Fourth Proportional to 2,581.89, 3,873.65 and 938.00

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Solution

The fourth proportional to 2,581.89, 3,873.65 and 938.00 is: 1,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.89 : 3,873.65 = 938.00 : x
  2. Step 2: Convert to fraction form
    2,581.89/3,873.65 = 938.00/x
  3. Step 3: Cross multiply
    2,581.89x = 3,873.65 × 938.00
  4. Step 4: Simplify right side
    2,581.89x = 3,633,459.64
  5. Step 5: Solve for x
    x = 3,633,459.64/2,581.89
  6. Step 6: Final answer
    x = 1,407.29

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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.