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Finding the Fourth Proportional to 2,912.09, 4,368.41 and 964.31

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Solution

The fourth proportional to 2,912.09, 4,368.41 and 964.31 is: 1,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.09 : 4,368.41 = 964.31 : x
  2. Step 2: Convert to fraction form
    2,912.09/4,368.41 = 964.31/x
  3. Step 3: Cross multiply
    2,912.09x = 4,368.41 × 964.31
  4. Step 4: Simplify right side
    2,912.09x = 4,212,501.45
  5. Step 5: Solve for x
    x = 4,212,501.45/2,912.09
  6. Step 6: Final answer
    x = 1,446.56

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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.