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Finding the Fourth Proportional to 3,381.90, 4,667.86 and 2,056.50

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Solution

The fourth proportional to 3,381.90, 4,667.86 and 2,056.50 is: 2,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.90 : 4,667.86 = 2,056.50 : x
  2. Step 2: Convert to fraction form
    3,381.90/4,667.86 = 2,056.50/x
  3. Step 3: Cross multiply
    3,381.90x = 4,667.86 × 2,056.50
  4. Step 4: Simplify right side
    3,381.90x = 9,599,454.09
  5. Step 5: Solve for x
    x = 9,599,454.09/3,381.90
  6. Step 6: Final answer
    x = 2,838.48

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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.