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Finding the Fourth Proportional to 2,748.60, 3,791.61 and 1,685.88

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Solution

The fourth proportional to 2,748.60, 3,791.61 and 1,685.88 is: 2,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.60 : 3,791.61 = 1,685.88 : x
  2. Step 2: Convert to fraction form
    2,748.60/3,791.61 = 1,685.88/x
  3. Step 3: Cross multiply
    2,748.60x = 3,791.61 × 1,685.88
  4. Step 4: Simplify right side
    2,748.60x = 6,392,199.47
  5. Step 5: Solve for x
    x = 6,392,199.47/2,748.60
  6. Step 6: Final answer
    x = 2,325.62

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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.