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Finding the Fourth Proportional to 2,739.46, 3,782.12 and 1,783.28

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Solution

The fourth proportional to 2,739.46, 3,782.12 and 1,783.28 is: 2,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.46 : 3,782.12 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    2,739.46/3,782.12 = 1,783.28/x
  3. Step 3: Cross multiply
    2,739.46x = 3,782.12 × 1,783.28
  4. Step 4: Simplify right side
    2,739.46x = 6,744,578.95
  5. Step 5: Solve for x
    x = 6,744,578.95/2,739.46
  6. Step 6: Final answer
    x = 2,462.01

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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.