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Finding the Fourth Proportional to 1,686.05, 2,542.56 and 1,662.96

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Solution

The fourth proportional to 1,686.05, 2,542.56 and 1,662.96 is: 2,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.05 : 2,542.56 = 1,662.96 : x
  2. Step 2: Convert to fraction form
    1,686.05/2,542.56 = 1,662.96/x
  3. Step 3: Cross multiply
    1,686.05x = 2,542.56 × 1,662.96
  4. Step 4: Simplify right side
    1,686.05x = 4,228,175.58
  5. Step 5: Solve for x
    x = 4,228,175.58/1,686.05
  6. Step 6: Final answer
    x = 2,507.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.