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Finding the Fourth Proportional to 2,731.91, 3,768.95 and 1,682.15

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Solution

The fourth proportional to 2,731.91, 3,768.95 and 1,682.15 is: 2,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.91 : 3,768.95 = 1,682.15 : x
  2. Step 2: Convert to fraction form
    2,731.91/3,768.95 = 1,682.15/x
  3. Step 3: Cross multiply
    2,731.91x = 3,768.95 × 1,682.15
  4. Step 4: Simplify right side
    2,731.91x = 6,339,920.40
  5. Step 5: Solve for x
    x = 6,339,920.40/2,731.91
  6. Step 6: Final answer
    x = 2,320.70

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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.