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Finding the Fourth Proportional to 2,000.48, 2,760.96 and 1,442.80

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Solution

The fourth proportional to 2,000.48, 2,760.96 and 1,442.80 is: 1,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.48 : 2,760.96 = 1,442.80 : x
  2. Step 2: Convert to fraction form
    2,000.48/2,760.96 = 1,442.80/x
  3. Step 3: Cross multiply
    2,000.48x = 2,760.96 × 1,442.80
  4. Step 4: Simplify right side
    2,000.48x = 3,983,513.09
  5. Step 5: Solve for x
    x = 3,983,513.09/2,000.48
  6. Step 6: Final answer
    x = 1,991.28

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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.