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Finding the Fourth Proportional to 1,821.64, 2,728.68 and 1,354

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Solution

The fourth proportional to 1,821.64, 2,728.68 and 1,354 is: 2,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.64 : 2,728.68 = 1,354 : x
  2. Step 2: Convert to fraction form
    1,821.64/2,728.68 = 1,354/x
  3. Step 3: Cross multiply
    1,821.64x = 2,728.68 × 1,354
  4. Step 4: Simplify right side
    1,821.64x = 3,694,632.72
  5. Step 5: Solve for x
    x = 3,694,632.72/1,821.64
  6. Step 6: Final answer
    x = 2,028.19

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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.