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Finding the Fourth Proportional to 2,950.72, 4,426.32 and 898.72

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Solution

The fourth proportional to 2,950.72, 4,426.32 and 898.72 is: 1,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.72 : 4,426.32 = 898.72 : x
  2. Step 2: Convert to fraction form
    2,950.72/4,426.32 = 898.72/x
  3. Step 3: Cross multiply
    2,950.72x = 4,426.32 × 898.72
  4. Step 4: Simplify right side
    2,950.72x = 3,978,022.31
  5. Step 5: Solve for x
    x = 3,978,022.31/2,950.72
  6. Step 6: Final answer
    x = 1,348.15

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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.