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Finding the Fourth Proportional to 2,633.61, 3,950.08 and 685.77

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Solution

The fourth proportional to 2,633.61, 3,950.08 and 685.77 is: 1,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.61 : 3,950.08 = 685.77 : x
  2. Step 2: Convert to fraction form
    2,633.61/3,950.08 = 685.77/x
  3. Step 3: Cross multiply
    2,633.61x = 3,950.08 × 685.77
  4. Step 4: Simplify right side
    2,633.61x = 2,708,846.36
  5. Step 5: Solve for x
    x = 2,708,846.36/2,633.61
  6. Step 6: Final answer
    x = 1,028.57

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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.