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Finding the Fourth Proportional to 2,676.84, 4,013.54 and 1,288.36

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Solution

The fourth proportional to 2,676.84, 4,013.54 and 1,288.36 is: 1,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.84 : 4,013.54 = 1,288.36 : x
  2. Step 2: Convert to fraction form
    2,676.84/4,013.54 = 1,288.36/x
  3. Step 3: Cross multiply
    2,676.84x = 4,013.54 × 1,288.36
  4. Step 4: Simplify right side
    2,676.84x = 5,170,884.39
  5. Step 5: Solve for x
    x = 5,170,884.39/2,676.84
  6. Step 6: Final answer
    x = 1,931.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.