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Finding the Fourth Proportional to 2,028.64, 2,797.68 and 1,330.24

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Solution

The fourth proportional to 2,028.64, 2,797.68 and 1,330.24 is: 1,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.64 : 2,797.68 = 1,330.24 : x
  2. Step 2: Convert to fraction form
    2,028.64/2,797.68 = 1,330.24/x
  3. Step 3: Cross multiply
    2,028.64x = 2,797.68 × 1,330.24
  4. Step 4: Simplify right side
    2,028.64x = 3,721,585.84
  5. Step 5: Solve for x
    x = 3,721,585.84/2,028.64
  6. Step 6: Final answer
    x = 1,834.52

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