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Finding the Fourth Proportional to 2,026.88, 2,797.12 and 1,142.60

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Solution

The fourth proportional to 2,026.88, 2,797.12 and 1,142.60 is: 1,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.88 : 2,797.12 = 1,142.60 : x
  2. Step 2: Convert to fraction form
    2,026.88/2,797.12 = 1,142.60/x
  3. Step 3: Cross multiply
    2,026.88x = 2,797.12 × 1,142.60
  4. Step 4: Simplify right side
    2,026.88x = 3,195,989.31
  5. Step 5: Solve for x
    x = 3,195,989.31/2,026.88
  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.