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Finding the Fourth Proportional to 2,796.42, 3,857.85 and 1,748.82

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Solution

The fourth proportional to 2,796.42, 3,857.85 and 1,748.82 is: 2,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.42 : 3,857.85 = 1,748.82 : x
  2. Step 2: Convert to fraction form
    2,796.42/3,857.85 = 1,748.82/x
  3. Step 3: Cross multiply
    2,796.42x = 3,857.85 × 1,748.82
  4. Step 4: Simplify right side
    2,796.42x = 6,746,685.24
  5. Step 5: Solve for x
    x = 6,746,685.24/2,796.42
  6. Step 6: Final answer
    x = 2,412.62

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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.