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Finding the Fourth Proportional to 2,859.72, 4,287.56 and 1,103.25

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Solution

The fourth proportional to 2,859.72, 4,287.56 and 1,103.25 is: 1,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.72 : 4,287.56 = 1,103.25 : x
  2. Step 2: Convert to fraction form
    2,859.72/4,287.56 = 1,103.25/x
  3. Step 3: Cross multiply
    2,859.72x = 4,287.56 × 1,103.25
  4. Step 4: Simplify right side
    2,859.72x = 4,730,245.05
  5. Step 5: Solve for x
    x = 4,730,245.05/2,859.72
  6. Step 6: Final answer
    x = 1,654.09

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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.