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Finding the Fourth Proportional to 2,633.89, 3,950.52 and 686.25

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Solution

The fourth proportional to 2,633.89, 3,950.52 and 686.25 is: 1,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.89 : 3,950.52 = 686.25 : x
  2. Step 2: Convert to fraction form
    2,633.89/3,950.52 = 686.25/x
  3. Step 3: Cross multiply
    2,633.89x = 3,950.52 × 686.25
  4. Step 4: Simplify right side
    2,633.89x = 2,711,044.35
  5. Step 5: Solve for x
    x = 2,711,044.35/2,633.89
  6. Step 6: Final answer
    x = 1,029.29

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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.