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Finding the Fourth Proportional to 2,057.96, 3,080.70 and 1,328.20

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Solution

The fourth proportional to 2,057.96, 3,080.70 and 1,328.20 is: 1,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.96 : 3,080.70 = 1,328.20 : x
  2. Step 2: Convert to fraction form
    2,057.96/3,080.70 = 1,328.20/x
  3. Step 3: Cross multiply
    2,057.96x = 3,080.70 × 1,328.20
  4. Step 4: Simplify right side
    2,057.96x = 4,091,785.74
  5. Step 5: Solve for x
    x = 4,091,785.74/2,057.96
  6. Step 6: Final answer
    x = 1,988.27

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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.