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Finding the Fourth Proportional to 2,080.64, 3,102.02 and 1,846.90

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Solution

The fourth proportional to 2,080.64, 3,102.02 and 1,846.90 is: 2,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.64 : 3,102.02 = 1,846.90 : x
  2. Step 2: Convert to fraction form
    2,080.64/3,102.02 = 1,846.90/x
  3. Step 3: Cross multiply
    2,080.64x = 3,102.02 × 1,846.90
  4. Step 4: Simplify right side
    2,080.64x = 5,729,120.74
  5. Step 5: Solve for x
    x = 5,729,120.74/2,080.64
  6. Step 6: Final answer
    x = 2,753.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.