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Finding the Fourth Proportional to 2,116, 3,173.92 and 555.99

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Solution

The fourth proportional to 2,116, 3,173.92 and 555.99 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 3,173.92 = 555.99 : x
  2. Step 2: Convert to fraction form
    2,116/3,173.92 = 555.99/x
  3. Step 3: Cross multiply
    2,116x = 3,173.92 × 555.99
  4. Step 4: Simplify right side
    2,116x = 1,764,667.78
  5. Step 5: Solve for x
    x = 1,764,667.78/2,116
  6. Step 6: Final answer
    x = 833.96

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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.