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Finding the Fourth Proportional to 2,026.72, 2,797 and 1,142.56

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Solution

The fourth proportional to 2,026.72, 2,797 and 1,142.56 is: 1,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.72 : 2,797 = 1,142.56 : x
  2. Step 2: Convert to fraction form
    2,026.72/2,797 = 1,142.56/x
  3. Step 3: Cross multiply
    2,026.72x = 2,797 × 1,142.56
  4. Step 4: Simplify right side
    2,026.72x = 3,195,740.32
  5. Step 5: Solve for x
    x = 3,195,740.32/2,026.72
  6. Step 6: Final answer
    x = 1,576.80

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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.