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Finding the Fourth Proportional to 3,049.72, 4,210.79 and 2,056.79

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Solution

The fourth proportional to 3,049.72, 4,210.79 and 2,056.79 is: 2,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.72 : 4,210.79 = 2,056.79 : x
  2. Step 2: Convert to fraction form
    3,049.72/4,210.79 = 2,056.79/x
  3. Step 3: Cross multiply
    3,049.72x = 4,210.79 × 2,056.79
  4. Step 4: Simplify right side
    3,049.72x = 8,660,711.01
  5. Step 5: Solve for x
    x = 8,660,711.01/3,049.72
  6. Step 6: Final answer
    x = 2,839.84

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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.