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Finding the Fourth Proportional to 3,111.34, 4,667.46 and 919.78

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Solution

The fourth proportional to 3,111.34, 4,667.46 and 919.78 is: 1,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.34 : 4,667.46 = 919.78 : x
  2. Step 2: Convert to fraction form
    3,111.34/4,667.46 = 919.78/x
  3. Step 3: Cross multiply
    3,111.34x = 4,667.46 × 919.78
  4. Step 4: Simplify right side
    3,111.34x = 4,293,036.36
  5. Step 5: Solve for x
    x = 4,293,036.36/3,111.34
  6. Step 6: Final answer
    x = 1,379.80

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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.