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Finding the Fourth Proportional to 2,950.94, 4,426.41 and 898.94

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Solution

The fourth proportional to 2,950.94, 4,426.41 and 898.94 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.94 : 4,426.41 = 898.94 : x
  2. Step 2: Convert to fraction form
    2,950.94/4,426.41 = 898.94/x
  3. Step 3: Cross multiply
    2,950.94x = 4,426.41 × 898.94
  4. Step 4: Simplify right side
    2,950.94x = 3,979,063.69
  5. Step 5: Solve for x
    x = 3,979,063.69/2,950.94
  6. Step 6: Final answer
    x = 1,348.41

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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.