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Finding the Fourth Proportional to 2,633.34, 3,950.10 and 685.74

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Solution

The fourth proportional to 2,633.34, 3,950.10 and 685.74 is: 1,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.34 : 3,950.10 = 685.74 : x
  2. Step 2: Convert to fraction form
    2,633.34/3,950.10 = 685.74/x
  3. Step 3: Cross multiply
    2,633.34x = 3,950.10 × 685.74
  4. Step 4: Simplify right side
    2,633.34x = 2,708,741.57
  5. Step 5: Solve for x
    x = 2,708,741.57/2,633.34
  6. Step 6: Final answer
    x = 1,028.63

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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.