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Finding the Fourth Proportional to 2,625.84, 3,940.13 and 1,164.67

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Solution

The fourth proportional to 2,625.84, 3,940.13 and 1,164.67 is: 1,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.84 : 3,940.13 = 1,164.67 : x
  2. Step 2: Convert to fraction form
    2,625.84/3,940.13 = 1,164.67/x
  3. Step 3: Cross multiply
    2,625.84x = 3,940.13 × 1,164.67
  4. Step 4: Simplify right side
    2,625.84x = 4,588,944.27
  5. Step 5: Solve for x
    x = 4,588,944.27/2,625.84
  6. Step 6: Final answer
    x = 1,747.61

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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.