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Finding the Fourth Proportional to 2,056.28, 3,083.28 and 1,013.99

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Solution

The fourth proportional to 2,056.28, 3,083.28 and 1,013.99 is: 1,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.28 : 3,083.28 = 1,013.99 : x
  2. Step 2: Convert to fraction form
    2,056.28/3,083.28 = 1,013.99/x
  3. Step 3: Cross multiply
    2,056.28x = 3,083.28 × 1,013.99
  4. Step 4: Simplify right side
    2,056.28x = 3,126,415.09
  5. Step 5: Solve for x
    x = 3,126,415.09/2,056.28
  6. Step 6: Final answer
    x = 1,520.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.