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Finding the Fourth Proportional to 1,484.94, 2,049.29 and 855.83

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Solution

The fourth proportional to 1,484.94, 2,049.29 and 855.83 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.94 : 2,049.29 = 855.83 : x
  2. Step 2: Convert to fraction form
    1,484.94/2,049.29 = 855.83/x
  3. Step 3: Cross multiply
    1,484.94x = 2,049.29 × 855.83
  4. Step 4: Simplify right side
    1,484.94x = 1,753,847.91
  5. Step 5: Solve for x
    x = 1,753,847.91/1,484.94
  6. Step 6: Final answer
    x = 1,181.09

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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.