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Finding the Fourth Proportional to 2,051.68, 2,830.49 and 1,167.31

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Solution

The fourth proportional to 2,051.68, 2,830.49 and 1,167.31 is: 1,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.68 : 2,830.49 = 1,167.31 : x
  2. Step 2: Convert to fraction form
    2,051.68/2,830.49 = 1,167.31/x
  3. Step 3: Cross multiply
    2,051.68x = 2,830.49 × 1,167.31
  4. Step 4: Simplify right side
    2,051.68x = 3,304,067.93
  5. Step 5: Solve for x
    x = 3,304,067.93/2,051.68
  6. Step 6: Final answer
    x = 1,610.42

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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.