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Finding the Fourth Proportional to 1,677.57, 2,308.26 and 1,634.64

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Solution

The fourth proportional to 1,677.57, 2,308.26 and 1,634.64 is: 2,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.57 : 2,308.26 = 1,634.64 : x
  2. Step 2: Convert to fraction form
    1,677.57/2,308.26 = 1,634.64/x
  3. Step 3: Cross multiply
    1,677.57x = 2,308.26 × 1,634.64
  4. Step 4: Simplify right side
    1,677.57x = 3,773,174.13
  5. Step 5: Solve for x
    x = 3,773,174.13/1,677.57
  6. Step 6: Final answer
    x = 2,249.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.