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Finding the Fourth Proportional to 2,789.99, 4,185.38 and 941.64

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Solution

The fourth proportional to 2,789.99, 4,185.38 and 941.64 is: 1,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.99 : 4,185.38 = 941.64 : x
  2. Step 2: Convert to fraction form
    2,789.99/4,185.38 = 941.64/x
  3. Step 3: Cross multiply
    2,789.99x = 4,185.38 × 941.64
  4. Step 4: Simplify right side
    2,789.99x = 3,941,116.52
  5. Step 5: Solve for x
    x = 3,941,116.52/2,789.99
  6. Step 6: Final answer
    x = 1,412.59

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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.