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Finding the Fourth Proportional to 3,681.42, 5,080.31 and 2,002.80

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Solution

The fourth proportional to 3,681.42, 5,080.31 and 2,002.80 is: 2,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.42 : 5,080.31 = 2,002.80 : x
  2. Step 2: Convert to fraction form
    3,681.42/5,080.31 = 2,002.80/x
  3. Step 3: Cross multiply
    3,681.42x = 5,080.31 × 2,002.80
  4. Step 4: Simplify right side
    3,681.42x = 10,174,844.87
  5. Step 5: Solve for x
    x = 10,174,844.87/3,681.42
  6. Step 6: Final answer
    x = 2,763.84

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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.