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Finding the Fourth Proportional to 2,724, 3,767.44 and 2,428.76

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Solution

The fourth proportional to 2,724, 3,767.44 and 2,428.76 is: 3,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 3,767.44 = 2,428.76 : x
  2. Step 2: Convert to fraction form
    2,724/3,767.44 = 2,428.76/x
  3. Step 3: Cross multiply
    2,724x = 3,767.44 × 2,428.76
  4. Step 4: Simplify right side
    2,724x = 9,150,207.57
  5. Step 5: Solve for x
    x = 9,150,207.57/2,724
  6. Step 6: Final answer
    x = 3,359.11

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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.