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Finding the Fourth Proportional to 1,792.66, 2,683.72 and 1,174.36

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Solution

The fourth proportional to 1,792.66, 2,683.72 and 1,174.36 is: 1,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.66 : 2,683.72 = 1,174.36 : x
  2. Step 2: Convert to fraction form
    1,792.66/2,683.72 = 1,174.36/x
  3. Step 3: Cross multiply
    1,792.66x = 2,683.72 × 1,174.36
  4. Step 4: Simplify right side
    1,792.66x = 3,151,653.42
  5. Step 5: Solve for x
    x = 3,151,653.42/1,792.66
  6. Step 6: Final answer
    x = 1,758.09

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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.