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Finding the Fourth Proportional to 2,954.34, 4,431.96 and 1,006.09

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Solution

The fourth proportional to 2,954.34, 4,431.96 and 1,006.09 is: 1,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.34 : 4,431.96 = 1,006.09 : x
  2. Step 2: Convert to fraction form
    2,954.34/4,431.96 = 1,006.09/x
  3. Step 3: Cross multiply
    2,954.34x = 4,431.96 × 1,006.09
  4. Step 4: Simplify right side
    2,954.34x = 4,458,950.64
  5. Step 5: Solve for x
    x = 4,458,950.64/2,954.34
  6. Step 6: Final answer
    x = 1,509.29

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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.