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Finding the Fourth Proportional to 2,660.84, 3,671.69 and 1,481.78

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Solution

The fourth proportional to 2,660.84, 3,671.69 and 1,481.78 is: 2,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.84 : 3,671.69 = 1,481.78 : x
  2. Step 2: Convert to fraction form
    2,660.84/3,671.69 = 1,481.78/x
  3. Step 3: Cross multiply
    2,660.84x = 3,671.69 × 1,481.78
  4. Step 4: Simplify right side
    2,660.84x = 5,440,636.81
  5. Step 5: Solve for x
    x = 5,440,636.81/2,660.84
  6. Step 6: Final answer
    x = 2,044.71

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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.