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Finding the Fourth Proportional to 2,633.46, 3,950.88 and 1,538.76

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Solution

The fourth proportional to 2,633.46, 3,950.88 and 1,538.76 is: 2,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.46 : 3,950.88 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    2,633.46/3,950.88 = 1,538.76/x
  3. Step 3: Cross multiply
    2,633.46x = 3,950.88 × 1,538.76
  4. Step 4: Simplify right side
    2,633.46x = 6,079,456.11
  5. Step 5: Solve for x
    x = 6,079,456.11/2,633.46
  6. Step 6: Final answer
    x = 2,308.54

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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.