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Finding the Fourth Proportional to 2,950.38, 4,425.61 and 759.06

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Solution

The fourth proportional to 2,950.38, 4,425.61 and 759.06 is: 1,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.38 : 4,425.61 = 759.06 : x
  2. Step 2: Convert to fraction form
    2,950.38/4,425.61 = 759.06/x
  3. Step 3: Cross multiply
    2,950.38x = 4,425.61 × 759.06
  4. Step 4: Simplify right side
    2,950.38x = 3,359,303.53
  5. Step 5: Solve for x
    x = 3,359,303.53/2,950.38
  6. Step 6: Final answer
    x = 1,138.60

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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.