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Finding the Fourth Proportional to 2,744.13, 3,787.16 and 1,682.57

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Solution

The fourth proportional to 2,744.13, 3,787.16 and 1,682.57 is: 2,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.13 : 3,787.16 = 1,682.57 : x
  2. Step 2: Convert to fraction form
    2,744.13/3,787.16 = 1,682.57/x
  3. Step 3: Cross multiply
    2,744.13x = 3,787.16 × 1,682.57
  4. Step 4: Simplify right side
    2,744.13x = 6,372,162.86
  5. Step 5: Solve for x
    x = 6,372,162.86/2,744.13
  6. Step 6: Final answer
    x = 2,322.11

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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.