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Finding the Fourth Proportional to 3,111.08, 4,667.52 and 919.76

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Solution

The fourth proportional to 3,111.08, 4,667.52 and 919.76 is: 1,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.08 : 4,667.52 = 919.76 : x
  2. Step 2: Convert to fraction form
    3,111.08/4,667.52 = 919.76/x
  3. Step 3: Cross multiply
    3,111.08x = 4,667.52 × 919.76
  4. Step 4: Simplify right side
    3,111.08x = 4,292,998.20
  5. Step 5: Solve for x
    x = 4,292,998.20/3,111.08
  6. Step 6: Final answer
    x = 1,379.91

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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.