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Finding the Fourth Proportional to 1,792.35, 2,683.92 and 1,174.23

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Solution

The fourth proportional to 1,792.35, 2,683.92 and 1,174.23 is: 1,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.35 : 2,683.92 = 1,174.23 : x
  2. Step 2: Convert to fraction form
    1,792.35/2,683.92 = 1,174.23/x
  3. Step 3: Cross multiply
    1,792.35x = 2,683.92 × 1,174.23
  4. Step 4: Simplify right side
    1,792.35x = 3,151,539.38
  5. Step 5: Solve for x
    x = 3,151,539.38/1,792.35
  6. Step 6: Final answer
    x = 1,758.33

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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.