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Finding the Fourth Proportional to 2,761.30, 4,143.30 and 1,462.75

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Solution

The fourth proportional to 2,761.30, 4,143.30 and 1,462.75 is: 2,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.30 : 4,143.30 = 1,462.75 : x
  2. Step 2: Convert to fraction form
    2,761.30/4,143.30 = 1,462.75/x
  3. Step 3: Cross multiply
    2,761.30x = 4,143.30 × 1,462.75
  4. Step 4: Simplify right side
    2,761.30x = 6,060,612.08
  5. Step 5: Solve for x
    x = 6,060,612.08/2,761.30
  6. Step 6: Final answer
    x = 2,194.84

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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.