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Finding the Fourth Proportional to 2,576.80, 3,862.08 and 1,188.24

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Solution

The fourth proportional to 2,576.80, 3,862.08 and 1,188.24 is: 1,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.80 : 3,862.08 = 1,188.24 : x
  2. Step 2: Convert to fraction form
    2,576.80/3,862.08 = 1,188.24/x
  3. Step 3: Cross multiply
    2,576.80x = 3,862.08 × 1,188.24
  4. Step 4: Simplify right side
    2,576.80x = 4,589,077.94
  5. Step 5: Solve for x
    x = 4,589,077.94/2,576.80
  6. Step 6: Final answer
    x = 1,780.92

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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.