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Finding the Fourth Proportional to 3,159.90, 4,361.60 and 2,040.81

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Solution

The fourth proportional to 3,159.90, 4,361.60 and 2,040.81 is: 2,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.90 : 4,361.60 = 2,040.81 : x
  2. Step 2: Convert to fraction form
    3,159.90/4,361.60 = 2,040.81/x
  3. Step 3: Cross multiply
    3,159.90x = 4,361.60 × 2,040.81
  4. Step 4: Simplify right side
    3,159.90x = 8,901,186.69
  5. Step 5: Solve for x
    x = 8,901,186.69/3,159.90
  6. Step 6: Final answer
    x = 2,816.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.