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Finding the Fourth Proportional to 3,381.91, 4,667.86 and 2,056.49

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Solution

The fourth proportional to 3,381.91, 4,667.86 and 2,056.49 is: 2,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.91 : 4,667.86 = 2,056.49 : x
  2. Step 2: Convert to fraction form
    3,381.91/4,667.86 = 2,056.49/x
  3. Step 3: Cross multiply
    3,381.91x = 4,667.86 × 2,056.49
  4. Step 4: Simplify right side
    3,381.91x = 9,599,407.41
  5. Step 5: Solve for x
    x = 9,599,407.41/3,381.91
  6. Step 6: Final answer
    x = 2,838.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.