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Finding the Fourth Proportional to 2,080.60, 2,872.03 and 1,284.06

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Solution

The fourth proportional to 2,080.60, 2,872.03 and 1,284.06 is: 1,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.60 : 2,872.03 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    2,080.60/2,872.03 = 1,284.06/x
  3. Step 3: Cross multiply
    2,080.60x = 2,872.03 × 1,284.06
  4. Step 4: Simplify right side
    2,080.60x = 3,687,843.10
  5. Step 5: Solve for x
    x = 3,687,843.10/2,080.60
  6. Step 6: Final answer
    x = 1,772.49

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Why These Related Problems?

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