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Finding the Fourth Proportional to 2,951.21, 4,427.00 and 759.89

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Solution

The fourth proportional to 2,951.21, 4,427.00 and 759.89 is: 1,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.21 : 4,427.00 = 759.89 : x
  2. Step 2: Convert to fraction form
    2,951.21/4,427.00 = 759.89/x
  3. Step 3: Cross multiply
    2,951.21x = 4,427.00 × 759.89
  4. Step 4: Simplify right side
    2,951.21x = 3,364,007.10
  5. Step 5: Solve for x
    x = 3,364,007.10/2,951.21
  6. Step 6: Final answer
    x = 1,139.88

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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.