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Finding the Fourth Proportional to 2,857.40, 3,940.64 and 1,795.26

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Solution

The fourth proportional to 2,857.40, 3,940.64 and 1,795.26 is: 2,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 3,940.64 = 1,795.26 : x
  2. Step 2: Convert to fraction form
    2,857.40/3,940.64 = 1,795.26/x
  3. Step 3: Cross multiply
    2,857.40x = 3,940.64 × 1,795.26
  4. Step 4: Simplify right side
    2,857.40x = 7,074,464.39
  5. Step 5: Solve for x
    x = 7,074,464.39/2,857.40
  6. Step 6: Final answer
    x = 2,475.84

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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.