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Finding the Fourth Proportional to 3,052.86, 4,216.41 and 2,056.41

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Solution

The fourth proportional to 3,052.86, 4,216.41 and 2,056.41 is: 2,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.86 : 4,216.41 = 2,056.41 : x
  2. Step 2: Convert to fraction form
    3,052.86/4,216.41 = 2,056.41/x
  3. Step 3: Cross multiply
    3,052.86x = 4,216.41 × 2,056.41
  4. Step 4: Simplify right side
    3,052.86x = 8,670,667.69
  5. Step 5: Solve for x
    x = 8,670,667.69/3,052.86
  6. Step 6: Final answer
    x = 2,840.18

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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.