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Finding the Fourth Proportional to 2,748.27, 3,792.62 and 1,506.27

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Solution

The fourth proportional to 2,748.27, 3,792.62 and 1,506.27 is: 2,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.27 : 3,792.62 = 1,506.27 : x
  2. Step 2: Convert to fraction form
    2,748.27/3,792.62 = 1,506.27/x
  3. Step 3: Cross multiply
    2,748.27x = 3,792.62 × 1,506.27
  4. Step 4: Simplify right side
    2,748.27x = 5,712,709.73
  5. Step 5: Solve for x
    x = 5,712,709.73/2,748.27
  6. Step 6: Final answer
    x = 2,078.66

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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.