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Finding the Fourth Proportional to 2,760.61, 4,142.46 and 2,145.55

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Solution

The fourth proportional to 2,760.61, 4,142.46 and 2,145.55 is: 3,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.61 : 4,142.46 = 2,145.55 : x
  2. Step 2: Convert to fraction form
    2,760.61/4,142.46 = 2,145.55/x
  3. Step 3: Cross multiply
    2,760.61x = 4,142.46 × 2,145.55
  4. Step 4: Simplify right side
    2,760.61x = 8,887,855.05
  5. Step 5: Solve for x
    x = 8,887,855.05/2,760.61
  6. Step 6: Final answer
    x = 3,219.53

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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.