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Finding the Fourth Proportional to 2,748.39, 3,792.77 and 1,506.39

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Solution

The fourth proportional to 2,748.39, 3,792.77 and 1,506.39 is: 2,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.39 : 3,792.77 = 1,506.39 : x
  2. Step 2: Convert to fraction form
    2,748.39/3,792.77 = 1,506.39/x
  3. Step 3: Cross multiply
    2,748.39x = 3,792.77 × 1,506.39
  4. Step 4: Simplify right side
    2,748.39x = 5,713,383.27
  5. Step 5: Solve for x
    x = 5,713,383.27/2,748.39
  6. Step 6: Final answer
    x = 2,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.