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Finding the Fourth Proportional to 2,950.96, 4,436.16 and 2,464.96

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Solution

The fourth proportional to 2,950.96, 4,436.16 and 2,464.96 is: 3,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.96 : 4,436.16 = 2,464.96 : x
  2. Step 2: Convert to fraction form
    2,950.96/4,436.16 = 2,464.96/x
  3. Step 3: Cross multiply
    2,950.96x = 4,436.16 × 2,464.96
  4. Step 4: Simplify right side
    2,950.96x = 10,934,956.95
  5. Step 5: Solve for x
    x = 10,934,956.95/2,950.96
  6. Step 6: Final answer
    x = 3,705.56

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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.