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Finding the Fourth Proportional to 1,792.11, 2,684.49 and 1,059.92

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Solution

The fourth proportional to 1,792.11, 2,684.49 and 1,059.92 is: 1,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.11 : 2,684.49 = 1,059.92 : x
  2. Step 2: Convert to fraction form
    1,792.11/2,684.49 = 1,059.92/x
  3. Step 3: Cross multiply
    1,792.11x = 2,684.49 × 1,059.92
  4. Step 4: Simplify right side
    1,792.11x = 2,845,344.64
  5. Step 5: Solve for x
    x = 2,845,344.64/1,792.11
  6. Step 6: Final answer
    x = 1,587.71

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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.