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Finding the Fourth Proportional to 2,666.18, 3,991.21 and 1,831.48

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Solution

The fourth proportional to 2,666.18, 3,991.21 and 1,831.48 is: 2,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.18 : 3,991.21 = 1,831.48 : x
  2. Step 2: Convert to fraction form
    2,666.18/3,991.21 = 1,831.48/x
  3. Step 3: Cross multiply
    2,666.18x = 3,991.21 × 1,831.48
  4. Step 4: Simplify right side
    2,666.18x = 7,309,806.73
  5. Step 5: Solve for x
    x = 7,309,806.73/2,666.18
  6. Step 6: Final answer
    x = 2,741.68

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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.