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Finding the Fourth Proportional to 2,757.36, 3,802.32 and 2,384.04

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Solution

The fourth proportional to 2,757.36, 3,802.32 and 2,384.04 is: 3,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.36 : 3,802.32 = 2,384.04 : x
  2. Step 2: Convert to fraction form
    2,757.36/3,802.32 = 2,384.04/x
  3. Step 3: Cross multiply
    2,757.36x = 3,802.32 × 2,384.04
  4. Step 4: Simplify right side
    2,757.36x = 9,064,882.97
  5. Step 5: Solve for x
    x = 9,064,882.97/2,757.36
  6. Step 6: Final answer
    x = 3,287.52

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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.