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Finding the Fourth Proportional to 2,624.69, 3,937.07 and 775.83

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Solution

The fourth proportional to 2,624.69, 3,937.07 and 775.83 is: 1,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.69 : 3,937.07 = 775.83 : x
  2. Step 2: Convert to fraction form
    2,624.69/3,937.07 = 775.83/x
  3. Step 3: Cross multiply
    2,624.69x = 3,937.07 × 775.83
  4. Step 4: Simplify right side
    2,624.69x = 3,054,497.02
  5. Step 5: Solve for x
    x = 3,054,497.02/2,624.69
  6. Step 6: Final answer
    x = 1,163.76

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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.