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Finding the Fourth Proportional to 2,912.96, 4,390.94 and 2,429.24

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Solution

The fourth proportional to 2,912.96, 4,390.94 and 2,429.24 is: 3,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.96 : 4,390.94 = 2,429.24 : x
  2. Step 2: Convert to fraction form
    2,912.96/4,390.94 = 2,429.24/x
  3. Step 3: Cross multiply
    2,912.96x = 4,390.94 × 2,429.24
  4. Step 4: Simplify right side
    2,912.96x = 10,666,647.09
  5. Step 5: Solve for x
    x = 10,666,647.09/2,912.96
  6. Step 6: Final answer
    x = 3,661.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.