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Finding the Fourth Proportional to 1,892.42, 2,833.76 and 1,159.77

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Solution

The fourth proportional to 1,892.42, 2,833.76 and 1,159.77 is: 1,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.42 : 2,833.76 = 1,159.77 : x
  2. Step 2: Convert to fraction form
    1,892.42/2,833.76 = 1,159.77/x
  3. Step 3: Cross multiply
    1,892.42x = 2,833.76 × 1,159.77
  4. Step 4: Simplify right side
    1,892.42x = 3,286,512.73
  5. Step 5: Solve for x
    x = 3,286,512.73/1,892.42
  6. Step 6: Final answer
    x = 1,736.68

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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.