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Finding the Fourth Proportional to 2,624.34, 3,936.66 and 676.56

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Solution

The fourth proportional to 2,624.34, 3,936.66 and 676.56 is: 1,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.34 : 3,936.66 = 676.56 : x
  2. Step 2: Convert to fraction form
    2,624.34/3,936.66 = 676.56/x
  3. Step 3: Cross multiply
    2,624.34x = 3,936.66 × 676.56
  4. Step 4: Simplify right side
    2,624.34x = 2,663,386.69
  5. Step 5: Solve for x
    x = 2,663,386.69/2,624.34
  6. Step 6: Final answer
    x = 1,014.88

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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.