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Finding the Fourth Proportional to 2,744.52, 3,784.42 and 1,748.68

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Solution

The fourth proportional to 2,744.52, 3,784.42 and 1,748.68 is: 2,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.52 : 3,784.42 = 1,748.68 : x
  2. Step 2: Convert to fraction form
    2,744.52/3,784.42 = 1,748.68/x
  3. Step 3: Cross multiply
    2,744.52x = 3,784.42 × 1,748.68
  4. Step 4: Simplify right side
    2,744.52x = 6,617,739.57
  5. Step 5: Solve for x
    x = 6,617,739.57/2,744.52
  6. Step 6: Final answer
    x = 2,411.26

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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.