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Finding the Fourth Proportional to 1,686.26, 2,525.70 and 818.75

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Solution

The fourth proportional to 1,686.26, 2,525.70 and 818.75 is: 1,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.26 : 2,525.70 = 818.75 : x
  2. Step 2: Convert to fraction form
    1,686.26/2,525.70 = 818.75/x
  3. Step 3: Cross multiply
    1,686.26x = 2,525.70 × 818.75
  4. Step 4: Simplify right side
    1,686.26x = 2,067,916.88
  5. Step 5: Solve for x
    x = 2,067,916.88/1,686.26
  6. Step 6: Final answer
    x = 1,226.33

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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.