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Finding the Fourth Proportional to 3,406.39, 4,700.95 and 2,080.69

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Solution

The fourth proportional to 3,406.39, 4,700.95 and 2,080.69 is: 2,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.39 : 4,700.95 = 2,080.69 : x
  2. Step 2: Convert to fraction form
    3,406.39/4,700.95 = 2,080.69/x
  3. Step 3: Cross multiply
    3,406.39x = 4,700.95 × 2,080.69
  4. Step 4: Simplify right side
    3,406.39x = 9,781,234.01
  5. Step 5: Solve for x
    x = 9,781,234.01/3,406.39
  6. Step 6: Final answer
    x = 2,871.43

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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.