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Finding the Fourth Proportional to 1,511.72, 2,086.12 and 839.55

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Solution

The fourth proportional to 1,511.72, 2,086.12 and 839.55 is: 1,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.72 : 2,086.12 = 839.55 : x
  2. Step 2: Convert to fraction form
    1,511.72/2,086.12 = 839.55/x
  3. Step 3: Cross multiply
    1,511.72x = 2,086.12 × 839.55
  4. Step 4: Simplify right side
    1,511.72x = 1,751,410.92
  5. Step 5: Solve for x
    x = 1,751,410.92/1,511.72
  6. Step 6: Final answer
    x = 1,158.55

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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.