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Finding the Fourth Proportional to 2,954.04, 4,072.10 and 2,429.16

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Solution

The fourth proportional to 2,954.04, 4,072.10 and 2,429.16 is: 3,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.04 : 4,072.10 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    2,954.04/4,072.10 = 2,429.16/x
  3. Step 3: Cross multiply
    2,954.04x = 4,072.10 × 2,429.16
  4. Step 4: Simplify right side
    2,954.04x = 9,891,782.44
  5. Step 5: Solve for x
    x = 9,891,782.44/2,954.04
  6. Step 6: Final answer
    x = 3,348.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.