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Finding the Fourth Proportional to 2,856.28, 4,273.02 and 2,035

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Solution

The fourth proportional to 2,856.28, 4,273.02 and 2,035 is: 3,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.28 : 4,273.02 = 2,035 : x
  2. Step 2: Convert to fraction form
    2,856.28/4,273.02 = 2,035/x
  3. Step 3: Cross multiply
    2,856.28x = 4,273.02 × 2,035
  4. Step 4: Simplify right side
    2,856.28x = 8,695,595.70
  5. Step 5: Solve for x
    x = 8,695,595.70/2,856.28
  6. Step 6: Final answer
    x = 3,044.38

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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.