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Finding the Fourth Proportional to 2,027.68, 2,794.42 and 1,584.88

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Solution

The fourth proportional to 2,027.68, 2,794.42 and 1,584.88 is: 2,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.68 : 2,794.42 = 1,584.88 : x
  2. Step 2: Convert to fraction form
    2,027.68/2,794.42 = 1,584.88/x
  3. Step 3: Cross multiply
    2,027.68x = 2,794.42 × 1,584.88
  4. Step 4: Simplify right side
    2,027.68x = 4,428,820.37
  5. Step 5: Solve for x
    x = 4,428,820.37/2,027.68
  6. Step 6: Final answer
    x = 2,184.18

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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.