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Finding the Fourth Proportional to 3,080.06, 4,616.24 and 1,323

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Solution

The fourth proportional to 3,080.06, 4,616.24 and 1,323 is: 1,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.06 : 4,616.24 = 1,323 : x
  2. Step 2: Convert to fraction form
    3,080.06/4,616.24 = 1,323/x
  3. Step 3: Cross multiply
    3,080.06x = 4,616.24 × 1,323
  4. Step 4: Simplify right side
    3,080.06x = 6,107,286.35
  5. Step 5: Solve for x
    x = 6,107,286.35/3,080.06
  6. Step 6: Final answer
    x = 1,982.85

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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.