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Finding the Fourth Proportional to 2,026.87, 2,796.98 and 1,142.67

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Solution

The fourth proportional to 2,026.87, 2,796.98 and 1,142.67 is: 1,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.87 : 2,796.98 = 1,142.67 : x
  2. Step 2: Convert to fraction form
    2,026.87/2,796.98 = 1,142.67/x
  3. Step 3: Cross multiply
    2,026.87x = 2,796.98 × 1,142.67
  4. Step 4: Simplify right side
    2,026.87x = 3,196,025.14
  5. Step 5: Solve for x
    x = 3,196,025.14/2,026.87
  6. Step 6: Final answer
    x = 1,576.83

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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.