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Finding the Fourth Proportional to 2,680.35, 3,697.81 and 1,671.46

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Solution

The fourth proportional to 2,680.35, 3,697.81 and 1,671.46 is: 2,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.35 : 3,697.81 = 1,671.46 : x
  2. Step 2: Convert to fraction form
    2,680.35/3,697.81 = 1,671.46/x
  3. Step 3: Cross multiply
    2,680.35x = 3,697.81 × 1,671.46
  4. Step 4: Simplify right side
    2,680.35x = 6,180,750.23
  5. Step 5: Solve for x
    x = 6,180,750.23/2,680.35
  6. Step 6: Final answer
    x = 2,305.95

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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.