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Finding the Fourth Proportional to 1,888.89, 2,830.92 and 1,067.62

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Solution

The fourth proportional to 1,888.89, 2,830.92 and 1,067.62 is: 1,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.89 : 2,830.92 = 1,067.62 : x
  2. Step 2: Convert to fraction form
    1,888.89/2,830.92 = 1,067.62/x
  3. Step 3: Cross multiply
    1,888.89x = 2,830.92 × 1,067.62
  4. Step 4: Simplify right side
    1,888.89x = 3,022,332.66
  5. Step 5: Solve for x
    x = 3,022,332.66/1,888.89
  6. Step 6: Final answer
    x = 1,600.06

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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.