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Finding the Fourth Proportional to 1,841.06, 2,759.77 and 865.42

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Solution

The fourth proportional to 1,841.06, 2,759.77 and 865.42 is: 1,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.06 : 2,759.77 = 865.42 : x
  2. Step 2: Convert to fraction form
    1,841.06/2,759.77 = 865.42/x
  3. Step 3: Cross multiply
    1,841.06x = 2,759.77 × 865.42
  4. Step 4: Simplify right side
    1,841.06x = 2,388,354.34
  5. Step 5: Solve for x
    x = 2,388,354.34/1,841.06
  6. Step 6: Final answer
    x = 1,297.27

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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.