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Finding the Fourth Proportional to 2,624.01, 3,936.03 and 676.07

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Solution

The fourth proportional to 2,624.01, 3,936.03 and 676.07 is: 1,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.01 : 3,936.03 = 676.07 : x
  2. Step 2: Convert to fraction form
    2,624.01/3,936.03 = 676.07/x
  3. Step 3: Cross multiply
    2,624.01x = 3,936.03 × 676.07
  4. Step 4: Simplify right side
    2,624.01x = 2,661,008.74
  5. Step 5: Solve for x
    x = 2,661,008.74/2,624.01
  6. Step 6: Final answer
    x = 1,014.10

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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.