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Finding the Fourth Proportional to 1,589.05, 2,192.83 and 925.95

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Solution

The fourth proportional to 1,589.05, 2,192.83 and 925.95 is: 1,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.05 : 2,192.83 = 925.95 : x
  2. Step 2: Convert to fraction form
    1,589.05/2,192.83 = 925.95/x
  3. Step 3: Cross multiply
    1,589.05x = 2,192.83 × 925.95
  4. Step 4: Simplify right side
    1,589.05x = 2,030,450.94
  5. Step 5: Solve for x
    x = 2,030,450.94/1,589.05
  6. Step 6: Final answer
    x = 1,277.78

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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.