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Finding the Fourth Proportional to 3,051.87, 4,212.57 and 2,056.78

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Solution

The fourth proportional to 3,051.87, 4,212.57 and 2,056.78 is: 2,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.87 : 4,212.57 = 2,056.78 : x
  2. Step 2: Convert to fraction form
    3,051.87/4,212.57 = 2,056.78/x
  3. Step 3: Cross multiply
    3,051.87x = 4,212.57 × 2,056.78
  4. Step 4: Simplify right side
    3,051.87x = 8,664,329.72
  5. Step 5: Solve for x
    x = 8,664,329.72/3,051.87
  6. Step 6: Final answer
    x = 2,839.02

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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.