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Finding the Fourth Proportional to 2,566.81, 3,843.06 and 1,686.61

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Solution

The fourth proportional to 2,566.81, 3,843.06 and 1,686.61 is: 2,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.81 : 3,843.06 = 1,686.61 : x
  2. Step 2: Convert to fraction form
    2,566.81/3,843.06 = 1,686.61/x
  3. Step 3: Cross multiply
    2,566.81x = 3,843.06 × 1,686.61
  4. Step 4: Simplify right side
    2,566.81x = 6,481,743.43
  5. Step 5: Solve for x
    x = 6,481,743.43/2,566.81
  6. Step 6: Final answer
    x = 2,525.21

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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.