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Finding the Fourth Proportional to 2,740.64, 3,782.37 and 1,679.12

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Solution

The fourth proportional to 2,740.64, 3,782.37 and 1,679.12 is: 2,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.64 : 3,782.37 = 1,679.12 : x
  2. Step 2: Convert to fraction form
    2,740.64/3,782.37 = 1,679.12/x
  3. Step 3: Cross multiply
    2,740.64x = 3,782.37 × 1,679.12
  4. Step 4: Simplify right side
    2,740.64x = 6,351,062.57
  5. Step 5: Solve for x
    x = 6,351,062.57/2,740.64
  6. Step 6: Final answer
    x = 2,317.36

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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.