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Finding the Fourth Proportional to 1,389.97, 2,082.21 and 1,080.13

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Solution

The fourth proportional to 1,389.97, 2,082.21 and 1,080.13 is: 1,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.97 : 2,082.21 = 1,080.13 : x
  2. Step 2: Convert to fraction form
    1,389.97/2,082.21 = 1,080.13/x
  3. Step 3: Cross multiply
    1,389.97x = 2,082.21 × 1,080.13
  4. Step 4: Simplify right side
    1,389.97x = 2,249,057.49
  5. Step 5: Solve for x
    x = 2,249,057.49/1,389.97
  6. Step 6: Final answer
    x = 1,618.06

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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.