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Finding the Fourth Proportional to 2,785.63, 4,174.04 and 1,028.21

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Solution

The fourth proportional to 2,785.63, 4,174.04 and 1,028.21 is: 1,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.63 : 4,174.04 = 1,028.21 : x
  2. Step 2: Convert to fraction form
    2,785.63/4,174.04 = 1,028.21/x
  3. Step 3: Cross multiply
    2,785.63x = 4,174.04 × 1,028.21
  4. Step 4: Simplify right side
    2,785.63x = 4,291,789.67
  5. Step 5: Solve for x
    x = 4,291,789.67/2,785.63
  6. Step 6: Final answer
    x = 1,540.69

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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.