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Finding the Fourth Proportional to 2,686.80, 4,025.82 and 2,584.30

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Solution

The fourth proportional to 2,686.80, 4,025.82 and 2,584.30 is: 3,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.80 : 4,025.82 = 2,584.30 : x
  2. Step 2: Convert to fraction form
    2,686.80/4,025.82 = 2,584.30/x
  3. Step 3: Cross multiply
    2,686.80x = 4,025.82 × 2,584.30
  4. Step 4: Simplify right side
    2,686.80x = 10,403,926.63
  5. Step 5: Solve for x
    x = 10,403,926.63/2,686.80
  6. Step 6: Final answer
    x = 3,872.24

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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.