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Finding the Fourth Proportional to 3,111.06, 4,667.51 and 919.85

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Solution

The fourth proportional to 3,111.06, 4,667.51 and 919.85 is: 1,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.06 : 4,667.51 = 919.85 : x
  2. Step 2: Convert to fraction form
    3,111.06/4,667.51 = 919.85/x
  3. Step 3: Cross multiply
    3,111.06x = 4,667.51 × 919.85
  4. Step 4: Simplify right side
    3,111.06x = 4,293,406.80
  5. Step 5: Solve for x
    x = 4,293,406.80/3,111.06
  6. Step 6: Final answer
    x = 1,380.04

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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.