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Finding the Fourth Proportional to 2,633.82, 3,950.38 and 686.17

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Solution

The fourth proportional to 2,633.82, 3,950.38 and 686.17 is: 1,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.82 : 3,950.38 = 686.17 : x
  2. Step 2: Convert to fraction form
    2,633.82/3,950.38 = 686.17/x
  3. Step 3: Cross multiply
    2,633.82x = 3,950.38 × 686.17
  4. Step 4: Simplify right side
    2,633.82x = 2,710,632.24
  5. Step 5: Solve for x
    x = 2,710,632.24/2,633.82
  6. Step 6: Final answer
    x = 1,029.16

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