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Finding the Fourth Proportional to 2,760.75, 4,143.09 and 1,529.15

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Solution

The fourth proportional to 2,760.75, 4,143.09 and 1,529.15 is: 2,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.75 : 4,143.09 = 1,529.15 : x
  2. Step 2: Convert to fraction form
    2,760.75/4,143.09 = 1,529.15/x
  3. Step 3: Cross multiply
    2,760.75x = 4,143.09 × 1,529.15
  4. Step 4: Simplify right side
    2,760.75x = 6,335,385.36
  5. Step 5: Solve for x
    x = 6,335,385.36/2,760.75
  6. Step 6: Final answer
    x = 2,294.81

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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.