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Finding the Fourth Proportional to 2,624.51, 3,936.78 and 676.57

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Solution

The fourth proportional to 2,624.51, 3,936.78 and 676.57 is: 1,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.51 : 3,936.78 = 676.57 : x
  2. Step 2: Convert to fraction form
    2,624.51/3,936.78 = 676.57/x
  3. Step 3: Cross multiply
    2,624.51x = 3,936.78 × 676.57
  4. Step 4: Simplify right side
    2,624.51x = 2,663,484.18
  5. Step 5: Solve for x
    x = 2,663,484.18/2,624.51
  6. Step 6: Final answer
    x = 1,014.85

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Similar ratio
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1.5x scale

Why These Related Problems?

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