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Finding the Fourth Proportional to 2,724, 4,073.54 and 2,031.14

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Solution

The fourth proportional to 2,724, 4,073.54 and 2,031.14 is: 3,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 4,073.54 = 2,031.14 : x
  2. Step 2: Convert to fraction form
    2,724/4,073.54 = 2,031.14/x
  3. Step 3: Cross multiply
    2,724x = 4,073.54 × 2,031.14
  4. Step 4: Simplify right side
    2,724x = 8,273,930.04
  5. Step 5: Solve for x
    x = 8,273,930.04/2,724
  6. Step 6: Final answer
    x = 3,037.42

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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.