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Finding the Fourth Proportional to 3,052.94, 4,211.55 and 2,056.94

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Solution

The fourth proportional to 3,052.94, 4,211.55 and 2,056.94 is: 2,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.94 : 4,211.55 = 2,056.94 : x
  2. Step 2: Convert to fraction form
    3,052.94/4,211.55 = 2,056.94/x
  3. Step 3: Cross multiply
    3,052.94x = 4,211.55 × 2,056.94
  4. Step 4: Simplify right side
    3,052.94x = 8,662,905.66
  5. Step 5: Solve for x
    x = 8,662,905.66/3,052.94
  6. Step 6: Final answer
    x = 2,837.56

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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.