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Finding the Fourth Proportional to 2,472.04, 3,709.66 and 2,274.28

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Solution

The fourth proportional to 2,472.04, 3,709.66 and 2,274.28 is: 3,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.04 : 3,709.66 = 2,274.28 : x
  2. Step 2: Convert to fraction form
    2,472.04/3,709.66 = 2,274.28/x
  3. Step 3: Cross multiply
    2,472.04x = 3,709.66 × 2,274.28
  4. Step 4: Simplify right side
    2,472.04x = 8,436,805.54
  5. Step 5: Solve for x
    x = 8,436,805.54/2,472.04
  6. Step 6: Final answer
    x = 3,412.89

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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.